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102136056 = 23311715449
BaseRepresentation
bin1100001011001…
…11100011111000
321010012001022220
412011213203320
5202121323211
614045044040
72350066521
oct605474370
9233161286
10102136056
1152720370
122a256620
1318210b49
14d7c9848
158e77806
hex61678f8

102136056 has 64 divisors (see below), whose sum is σ = 282528000. Its totient is φ = 30508800.

The previous prime is 102136037. The next prime is 102136079. The reversal of 102136056 is 650631201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16020 + ... + 21468.

It is an arithmetic number, because the mean of its divisors is an integer number (4414500).

Almost surely, 2102136056 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 102136056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141264000).

102136056 is an abundant number, since it is smaller than the sum of its proper divisors (180391944).

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

102136056 is a wasteful number, since it uses less digits than its factorization.

102136056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5540 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 102136056 is about 10106.2384693812. The cubic root of 102136056 is about 467.4405250962.

Adding to 102136056 its reverse (650631201), we get a palindrome (752767257).

The spelling of 102136056 in words is "one hundred two million, one hundred thirty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 3124 4686 5449 6248 9372 10898 16347 18744 21796 32694 43592 59939 65388 119878 130776 179817 239756 359634 386879 479512 719268 773758 1160637 1438536 1547516 2321274 3095032 4255669 4642548 8511338 9285096 12767007 17022676 25534014 34045352 51068028 102136056