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5702090000 = 24541930011
BaseRepresentation
bin1010100111101111…
…01111110100010000
3112201101111011222112
411103313233310100
543134213340000
62341451324452
7261205652045
oct52367576420
915641434875
105702090000
112466754682
121131750728
136cb450369
143c14211cc
152358dd235
hex153defd10

5702090000 has 100 divisors (see below), whose sum is σ = 14532410640. Its totient is φ = 2160720000.

The previous prime is 5702089993. The next prime is 5702090021. The reversal of 5702090000 is 902075.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174995 + ... + 205005.

Almost surely, 25702090000 is an apocalyptic number.

5702090000 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 5702090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266205320).

5702090000 is an abundant number, since it is smaller than the sum of its proper divisors (8830320640).

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

5702090000 is a wasteful number, since it uses less digits than its factorization.

5702090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30058 (or 30037 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 5702090000 is about 75512.1844472798. The cubic root of 5702090000 is about 1786.5342885386.

Adding to 5702090000 its reverse (902075), we get a palindrome (5702992075).

The spelling of 5702090000 in words is "five billion, seven hundred two million, ninety thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 625 760 950 1000 1250 1520 1900 2000 2375 2500 3800 4750 5000 7600 9500 10000 11875 19000 23750 30011 38000 47500 60022 95000 120044 150055 190000 240088 300110 480176 570209 600220 750275 1140418 1200440 1500550 2280836 2400880 2851045 3001100 3751375 4561672 5702090 6002200 7502750 9123344 11404180 12004400 14255225 15005500 18756875 22808360 28510450 30011000 37513750 45616720 57020900 60022000 71276125 75027500 114041800 142552250 150055000 228083600 285104500 300110000 356380625 570209000 712761250 1140418000 1425522500 2851045000 5702090000