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557520690 = 235231515351
BaseRepresentation
bin100001001110110…
…001011100110010
31102212001222121110
4201032301130302
52120211130230
6131153334150
716546563516
oct4116613462
91385058543
10557520690
11266784601
12136867356
138b6746cc
145408a146
1533e2b4b0
hex213b1732

557520690 has 64 divisors (see below), whose sum is σ = 1405734912. Its totient is φ = 141240000.

The previous prime is 557520581. The next prime is 557520697. The reversal of 557520690 is 96025755.

It is a super-2 number, since 2×5575206902 = 621658639556152200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (557520697) 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, 101515 + ... + 106865.

It is an arithmetic number, because the mean of its divisors is an integer number (21964608).

Almost surely, 2557520690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557520690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702867456).

557520690 is an abundant number, since it is smaller than the sum of its proper divisors (848214222).

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

557520690 is a wasteful number, since it uses less digits than its factorization.

557520690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535.

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 557520690 is about 23611.8760372826. The cubic root of 557520690 is about 823.0388384747.

The spelling of 557520690 in words is "five hundred fifty-seven million, five hundred twenty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 151 230 302 345 453 690 755 906 1510 2265 3473 4530 5351 6946 10419 10702 16053 17365 20838 26755 32106 34730 52095 53510 80265 104190 123073 160530 246146 369219 615365 738438 808001 1230730 1616002 1846095 2424003 3692190 4040005 4848006 8080010 12120015 18584023 24240030 37168046 55752069 92920115 111504138 185840230 278760345 557520690