Search a number
-
+
113358924 = 223271747563
BaseRepresentation
bin1101100000110…
…11100001001100
321220022020012200
412300123201030
5213004441144
615125401500
72544351330
oct660334114
9256266180
10113358924
1158a96268
1231b69290
131a6401b3
14110ab7c0
159e42c69
hex6c1b84c

113358924 has 144 divisors (see below), whose sum is σ = 354751488. Its totient is φ = 29781504.

The previous prime is 113358919. The next prime is 113358937. The reversal of 113358924 is 429853311.

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 47 ways as a sum of consecutive naturals, for example, 201067 + ... + 201629.

It is an arithmetic number, because the mean of its divisors is an integer number (2463552).

Almost surely, 2113358924 is an apocalyptic number.

113358924 is a gapful number since it is divisible by the number (14) 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 113358924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177375744).

113358924 is an abundant number, since it is smaller than the sum of its proper divisors (241392564).

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

113358924 is a wasteful number, since it uses less digits than its factorization.

113358924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 639 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 113358924 is about 10647.0147928891. The cubic root of 113358924 is about 483.9701447787.

The spelling of 113358924 in words is "one hundred thirteen million, three hundred fifty-eight thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 47 51 63 68 84 94 102 119 126 141 153 188 204 238 252 282 306 329 357 423 476 563 564 612 658 714 799 846 987 1071 1126 1316 1428 1598 1689 1692 1974 2142 2252 2397 2961 3196 3378 3941 3948 4284 4794 5067 5593 5922 6756 7191 7882 9571 9588 10134 11186 11823 11844 14382 15764 16779 19142 20268 22372 23646 26461 28713 28764 33558 35469 38284 47292 50337 52922 57426 66997 67116 70938 79383 86139 100674 105844 114852 133994 141876 158766 172278 185227 200991 201348 238149 267988 317532 344556 370454 401982 449837 476298 555681 602973 740908 803964 899674 952596 1111362 1205946 1349511 1667043 1799348 2222724 2411892 2699022 3148859 3334086 4048533 5398044 6297718 6668172 8097066 9446577 12595436 16194132 18893154 28339731 37786308 56679462 113358924