Search a number
-
+
5140500 = 2235323149
BaseRepresentation
bin10011100111000000010100
3100200011102220
4103213000110
52303444000
6302102340
761456611
oct23470024
910604386
105140500
1129a1152
12187a9b0
1310aca21
1497b508
156b81a0
hex4e7014

5140500 has 96 divisors (see below), whose sum is σ = 15724800. Its totient is φ = 1302400.

The previous prime is 5140489. The next prime is 5140501. The reversal of 5140500 is 50415.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5140500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34426 + ... + 34574.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 25140500 is an apocalyptic number.

5140500 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 5140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

5140500 is an abundant number, since it is smaller than the sum of its proper divisors (10584300).

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

5140500 is a wasteful number, since it uses less digits than its factorization.

5140500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 5140500 is about 2267.2670773422. The cubic root of 5140500 is about 172.5844996636.

Adding to 5140500 its reverse (50415), we get a palindrome (5190915).

The spelling of 5140500 in words is "five million, one hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 125 138 149 150 230 250 276 298 300 345 375 447 460 500 575 596 690 745 750 894 1150 1380 1490 1500 1725 1788 2235 2300 2875 2980 3427 3450 3725 4470 5750 6854 6900 7450 8625 8940 10281 11175 11500 13708 14900 17135 17250 18625 20562 22350 34270 34500 37250 41124 44700 51405 55875 68540 74500 85675 102810 111750 171350 205620 223500 257025 342700 428375 514050 856750 1028100 1285125 1713500 2570250 5140500