Search a number
-
+
113921472 = 2637212109
BaseRepresentation
bin1101100101001…
…00110111000000
321221100210212210
412302210313000
5213130441342
615145422120
72552213400
oct662446700
9257323783
10113921472
115933a985
123219a940
131a7a9272
14111b6800
15a00479c
hex6ca4dc0

113921472 has 84 divisors (see below), whose sum is σ = 350657160. Its totient is φ = 32546304.

The previous prime is 113921449. The next prime is 113921519. The reversal of 113921472 is 274129311.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3354 + ... + 15462.

It is an arithmetic number, because the mean of its divisors is an integer number (4174490).

Almost surely, 2113921472 is an apocalyptic number.

113921472 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 113921472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175328580).

113921472 is an abundant number, since it is smaller than the sum of its proper divisors (236735688).

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

113921472 is a wasteful number, since it uses less digits than its factorization.

113921472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12138 (or 12121 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 113921472 is about 10673.4002079937. The cubic root of 113921472 is about 484.7693975825.

The spelling of 113921472 in words is "one hundred thirteen million, nine hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 12109 24218 36327 48436 72654 84763 96872 145308 169526 193744 254289 290616 339052 387488 508578 581232 593341 678104 774976 1017156 1162464 1186682 1356208 1780023 2034312 2324928 2373364 2712416 3560046 4068624 4746728 5424832 7120092 8137248 9493456 14240184 16274496 18986912 28480368 37973824 56960736 113921472