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540091656 = 233213587983
BaseRepresentation
bin100000001100010…
…010010100001000
31101122021111110200
4200030102110020
52101230413111
6125332012200
716245463146
oct4014222410
91348244420
10540091656
1125795a945
12130a61060
1387b81580
1451a30596
1532637256
hex20312508

540091656 has 96 divisors (see below), whose sum is σ = 1579556160. Its totient is φ = 165730176.

The previous prime is 540091631. The next prime is 540091667. The reversal of 540091656 is 656190045.

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 540091656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548941 + ... + 549923.

It is an arithmetic number, because the mean of its divisors is an integer number (16453710).

Almost surely, 2540091656 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 540091656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789778080).

540091656 is an abundant number, since it is smaller than the sum of its proper divisors (1039464504).

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

540091656 is a wasteful number, since it uses less digits than its factorization.

540091656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 540091656 is about 23239.8721166877. The cubic root of 540091656 is about 814.3713550870.

The spelling of 540091656 in words is "five hundred forty million, ninety-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 587 936 983 1174 1761 1966 2348 2949 3522 3932 4696 5283 5898 7044 7631 7864 8847 10566 11796 12779 14088 15262 17694 21132 22893 23592 25558 30524 35388 38337 42264 45786 51116 61048 68679 70776 76674 91572 102232 115011 137358 153348 183144 230022 274716 306696 460044 549432 577021 920088 1154042 1731063 2308084 3462126 4616168 5193189 6924252 7501273 10386378 13848504 15002546 20772756 22503819 30005092 41545512 45007638 60010184 67511457 90015276 135022914 180030552 270045828 540091656