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90740556 = 223271131271
BaseRepresentation
bin1010110100010…
…01011101001100
320022202002122100
411122021131030
5141212144211
613000515100
72151165504
oct532113514
9208662570
1090740556
11472477a5
122647ba90
1315a5104a
14c0a0a04
157e76156
hex568974c

90740556 has 72 divisors (see below), whose sum is σ = 235243008. Its totient is φ = 29484000.

The previous prime is 90740537. The next prime is 90740557. The reversal of 90740556 is 65504709.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90740556.

It is not an unprimeable number, because it can be changed into a prime (90740557) 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 23 ways as a sum of consecutive naturals, for example, 334701 + ... + 334971.

It is an arithmetic number, because the mean of its divisors is an integer number (3267264).

Almost surely, 290740556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90740556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117621504).

90740556 is an abundant number, since it is smaller than the sum of its proper divisors (144502452).

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

90740556 is a wasteful number, since it uses less digits than its factorization.

90740556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 90740556 is about 9525.7837472829. The cubic root of 90740556 is about 449.3662783379.

The spelling of 90740556 in words is "ninety million, seven hundred forty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 131 142 213 262 271 284 393 426 524 542 639 786 813 852 1084 1179 1278 1572 1626 2358 2439 2556 3252 4716 4878 9301 9756 18602 19241 27903 35501 37204 38482 55806 57723 71002 76964 83709 106503 111612 115446 142004 167418 173169 213006 230892 319509 334836 346338 426012 639018 692676 1278036 2520571 5041142 7561713 10082284 15123426 22685139 30246852 45370278 90740556