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107393472 = 2633193271
BaseRepresentation
bin1100110011010…
…11000111000000
321111002011011000
412121223013000
5204443042342
614353452000
72442554334
oct631530700
9244064130
10107393472
115569133a
122bb71000
1319331b44
14103977c4
15966544c
hex666b1c0

107393472 has 112 divisors (see below), whose sum is σ = 332435200. Its totient is φ = 33903360.

The previous prime is 107393441. The next prime is 107393483. The reversal of 107393472 is 274393701.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 31197 + ... + 34467.

Almost surely, 2107393472 is an apocalyptic number.

107393472 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 107393472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166217600).

107393472 is an abundant number, since it is smaller than the sum of its proper divisors (225041728).

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

107393472 is a wasteful number, since it uses less digits than its factorization.

107393472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 107393472 is about 10363.0821670003. The cubic root of 107393472 is about 475.3271570744.

The spelling of 107393472 in words is "one hundred seven million, three hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3271 3648 4104 5472 6542 8208 9813 10944 13084 16416 19626 26168 29439 32832 39252 52336 58878 62149 78504 88317 104672 117756 124298 157008 176634 186447 209344 235512 248596 314016 353268 372894 471024 497192 559341 628032 706536 745788 942048 994384 1118682 1413072 1491576 1678023 1884096 1988768 2237364 2826144 2983152 3356046 3977536 4474728 5652288 5966304 6712092 8949456 11932608 13424184 17898912 26848368 35797824 53696736 107393472