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56102112 = 2533115903
BaseRepresentation
bin1101011000000…
…0110011100000
310220120021122000
43112000303200
5103330231422
65322244000
71250601003
oct326006340
9126507560
1056102112
1129739390
1216956600
13b813a21
14764553a
154dd2cac
hex3580ce0

56102112 has 96 divisors (see below), whose sum is σ = 178536960. Its totient is φ = 16997760.

The previous prime is 56102093. The next prime is 56102119. The reversal of 56102112 is 21120165.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56102119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6553 + ... + 12455.

It is an arithmetic number, because the mean of its divisors is an integer number (1859760).

Almost surely, 256102112 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 56102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89268480).

56102112 is an abundant number, since it is smaller than the sum of its proper divisors (122434848).

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

56102112 is a wasteful number, since it uses less digits than its factorization.

56102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 56102112 is about 7490.1343112123. The cubic root of 56102112 is about 382.8186349160.

Adding to 56102112 its reverse (21120165), we get a palindrome (77222277).

The spelling of 56102112 in words is "fifty-six million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 5903 9504 11806 17709 23612 35418 47224 53127 64933 70836 94448 106254 129866 141672 159381 188896 194799 212508 259732 283344 318762 389598 425016 519464 566688 584397 637524 779196 850032 1038928 1168794 1275048 1558392 1700064 1753191 2077856 2337588 2550096 3116784 3506382 4675176 5100192 6233568 7012764 9350352 14025528 18700704 28051056 56102112