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56135016 = 23327127877
BaseRepresentation
bin1101011000100…
…0110101101000
310220121221202200
43112020311220
5103332310031
65323100200
71251065640
oct326106550
9126557680
1056135016
1129761083
1216971660
13b8259b2
147653520
154ddc8e6
hex3588d68

56135016 has 96 divisors (see below), whose sum is σ = 175319040. Its totient is φ = 15894144.

The previous prime is 56134993. The next prime is 56135021. The reversal of 56135016 is 61053165.

It is a happy number.

It is a super-2 number, since 2×561350162 = 6302280042640512, which contains 22 as substring.

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, 63570 + ... + 64446.

It is an arithmetic number, because the mean of its divisors is an integer number (1826240).

Almost surely, 256135016 is an apocalyptic number.

56135016 is a gapful number since it is divisible by the number (56) 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 56135016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87659520).

56135016 is an abundant number, since it is smaller than the sum of its proper divisors (119184024).

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

56135016 is a wasteful number, since it uses less digits than its factorization.

56135016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 56135016 is about 7492.3304785627. The cubic root of 56135016 is about 382.8934615855.

The spelling of 56135016 in words is "fifty-six million, one hundred thirty-five thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 127 168 252 254 381 504 508 762 877 889 1016 1143 1524 1754 1778 2286 2631 2667 3048 3508 3556 4572 5262 5334 6139 7016 7112 7893 8001 9144 10524 10668 12278 15786 16002 18417 21048 21336 24556 31572 32004 36834 49112 55251 63144 64008 73668 110502 111379 147336 221004 222758 334137 442008 445516 668274 779653 891032 1002411 1336548 1559306 2004822 2338959 2673096 3118612 4009644 4677918 6237224 7016877 8019288 9355836 14033754 18711672 28067508 56135016