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113738352 = 24371322003
BaseRepresentation
bin1101100011110…
…00001001110000
321221000111200120
412301320021300
5213104111402
615141450240
72550521460
oct661701160
9257014616
10113738352
1159225342
1232110980
131a743b00
1411169ba0
159eba3bc
hex6c78270

113738352 has 120 divisors (see below), whose sum is σ = 363798144. Its totient is φ = 29981952.

The previous prime is 113738327. The next prime is 113738353. The reversal of 113738352 is 253837311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113738353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55783 + ... + 57785.

Almost surely, 2113738352 is an apocalyptic number.

113738352 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 113738352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181899072).

113738352 is an abundant number, since it is smaller than the sum of its proper divisors (250059792).

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

113738352 is a wasteful number, since it uses less digits than its factorization.

113738352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2028 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 113738352 is about 10664.8184232082. The cubic root of 113738352 is about 484.5095151178.

The spelling of 113738352 in words is "one hundred thirteen million, seven hundred thirty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2003 2028 2184 2366 2704 3549 4006 4056 4368 4732 6009 7098 8012 8112 9464 12018 14021 14196 16024 18928 24036 26039 28042 28392 32048 42063 48072 52078 56084 56784 78117 84126 96144 104156 112168 156234 168252 182273 208312 224336 312468 336504 338507 364546 416624 546819 624936 673008 677014 729092 1015521 1093638 1249872 1354028 1458184 2031042 2187276 2369549 2708056 2916368 4062084 4374552 4739098 5416112 7108647 8124168 8749104 9478196 14217294 16248336 18956392 28434588 37912784 56869176 113738352