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113668272 = 2434229383
BaseRepresentation
bin1101100011001…
…11000010110000
321220212221120000
412301213002300
5213044341042
615140150000
72550110244
oct661470260
9256787500
10113668272
1159187723
1232098300
131a71ac43
141114c424
159ea474c
hex6c670b0

113668272 has 100 divisors (see below), whose sum is σ = 331288320. Its totient is φ = 37625472.

The previous prime is 113668259. The next prime is 113668283. The reversal of 113668272 is 272866311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 296593 + ... + 296975.

Almost surely, 2113668272 is an apocalyptic number.

113668272 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 113668272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165644160).

113668272 is an abundant number, since it is smaller than the sum of its proper divisors (217620048).

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

113668272 is a wasteful number, since it uses less digits than its factorization.

113668272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 617 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 113668272 is about 10661.5323476506. The cubic root of 113668272 is about 484.4099843313.

The spelling of 113668272 in words is "one hundred thirteen million, six hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 229 324 383 432 458 648 687 766 916 1149 1296 1374 1532 1832 2061 2298 2748 3064 3447 3664 4122 4596 5496 6128 6183 6894 8244 9192 10341 10992 12366 13788 16488 18384 18549 20682 24732 27576 31023 32976 37098 41364 49464 55152 62046 74196 82728 87707 98928 124092 148392 165456 175414 248184 263121 296784 350828 496368 526242 701656 789363 1052484 1403312 1578726 2104968 2368089 3157452 4209936 4736178 6314904 7104267 9472356 12629808 14208534 18944712 28417068 37889424 56834136 113668272