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104713152 = 2633791439
BaseRepresentation
bin1100011110111…
…00101111000000
321022000222102220
412033130233000
5203301310102
614220211040
72411022105
oct617345700
9238028386
10104713152
11541205a5
122b099a80
1318903b5b
14dc9aaac
1592d61bc
hex63dcbc0

104713152 has 56 divisors (see below), whose sum is σ = 277977600. Its totient is φ = 34788096.

The previous prime is 104713129. The next prime is 104713153. The reversal of 104713152 is 251317401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104713153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72049 + ... + 73487.

Almost surely, 2104713152 is an apocalyptic number.

104713152 is a gapful number since it is divisible by the number (12) 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 104713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138988800).

104713152 is an abundant number, since it is smaller than the sum of its proper divisors (173264448).

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

104713152 is a wasteful number, since it uses less digits than its factorization.

104713152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 104713152 is about 10232.9444442936. The cubic root of 104713152 is about 471.3393995317.

The spelling of 104713152 in words is "one hundred four million, seven hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 379 758 1137 1439 1516 2274 2878 3032 4317 4548 5756 6064 8634 9096 11512 12128 17268 18192 23024 24256 34536 36384 46048 69072 72768 92096 138144 276288 545381 1090762 1636143 2181524 3272286 4363048 6544572 8726096 13089144 17452192 26178288 34904384 52356576 104713152