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51130116 = 2235411283
BaseRepresentation
bin1100001100001…
…0111100000100
310120012200100000
43003002330010
5101042130431
65023521300
71160412252
oct303027404
9116180300
1051130116
11269528a4
1215159230
13a79290b
146b0d5d2
15474e9e6
hex30c2f04

51130116 has 72 divisors (see below), whose sum is σ = 137408544. Its totient is φ = 16614720.

The previous prime is 51130091. The next prime is 51130133. The reversal of 51130116 is 61103115.

It is a super-2 number, since 2×511301162 = 5228577524346912, which contains 22 as substring.

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

It is a congruent number.

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, 39211 + ... + 40493.

It is an arithmetic number, because the mean of its divisors is an integer number (1908452).

Almost surely, 251130116 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 51130116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68704272).

51130116 is an abundant number, since it is smaller than the sum of its proper divisors (86278428).

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

51130116 is a wasteful number, since it uses less digits than its factorization.

51130116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 51130116 is about 7150.5325675784. The cubic root of 51130116 is about 371.1580856019.

The spelling of 51130116 in words is "fifty-one million, one hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 738 972 1107 1283 1476 2214 2566 3321 3849 4428 5132 6642 7698 9963 11547 13284 15396 19926 23094 34641 39852 46188 52603 69282 103923 105206 138564 157809 207846 210412 311769 315618 415692 473427 623538 631236 946854 1247076 1420281 1893708 2840562 4260843 5681124 8521686 12782529 17043372 25565058 51130116