Search a number
-
+
5702185000 = 235419193311
BaseRepresentation
bin1010100111110000…
…00111000000101000
3112201101200000022001
411103320013000220
543134224410000
62341453340344
7261206526031
oct52370070050
915641600261
105702185000
112466809a96
1211317976b4
136cb484685
143c1447a88
1523590b46a
hex153e07028

5702185000 has 160 divisors (see below), whose sum is σ = 14181710400. Its totient is φ = 2142720000.

The previous prime is 5702184991. The next prime is 5702185009. The reversal of 5702185000 is 5812075.

It is an interprime number because it is at equal distance from previous prime (5702184991) and next prime (5702185009).

It is a self number, because there is not a number n which added to its sum of digits gives 5702185000.

It is not an unprimeable number, because it can be changed into a prime (5702185009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18334845 + ... + 18335155.

It is an arithmetic number, because the mean of its divisors is an integer number (88635690).

Almost surely, 25702185000 is an apocalyptic number.

5702185000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5702185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090855200).

5702185000 is an abundant number, since it is smaller than the sum of its proper divisors (8479525400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5702185000 is a wasteful number, since it uses less digits than its factorization.

5702185000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 5702185000 is about 75512.8134822164. The cubic root of 5702185000 is about 1786.5442100361.

Adding to 5702185000 its reverse (5812075), we get a palindrome (5707997075).

The spelling of 5702185000 in words is "five billion, seven hundred two million, one hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 193 200 250 311 380 386 475 500 622 625 760 772 950 965 1000 1244 1250 1544 1555 1900 1930 2375 2488 2500 3110 3667 3800 3860 4750 4825 5000 5909 6220 7334 7720 7775 9500 9650 11818 11875 12440 14668 15550 18335 19000 19300 23636 23750 24125 29336 29545 31100 36670 38600 38875 47272 47500 48250 59090 60023 62200 73340 77750 91675 95000 96500 118180 120046 120625 146680 147725 155500 183350 193000 194375 236360 240092 241250 295450 300115 311000 366700 388750 458375 480184 482500 590900 600230 733400 738625 777500 916750 965000 1140437 1181800 1200460 1477250 1500575 1555000 1833500 2280874 2291875 2400920 2954500 3001150 3667000 3693125 4561748 4583750 5702185 5909000 6002300 7386250 7502875 9123496 9167500 11404370 12004600 14772500 15005750 18335000 22808740 28510925 29545000 30011500 37514375 45617480 57021850 60023000 75028750 114043700 142554625 150057500 228087400 285109250 300115000 570218500 712773125 1140437000 1425546250 2851092500 5702185000