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113724324 = 22347411223
BaseRepresentation
bin1101100011101…
…00101110100100
321220222210110000
412301310232210
5213103134244
615141301300
72550432540
oct661645644
9256883400
10113724324
115921584a
1232104830
131a73a5cc
1411164a20
159eb6169
hex6c74ba4

113724324 has 120 divisors (see below), whose sum is σ = 348340608. Its totient is φ = 31674240.

The previous prime is 113724319. The next prime is 113724427. The reversal of 113724324 is 423427311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92377 + ... + 93599.

Almost surely, 2113724324 is an apocalyptic number.

113724324 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 113724324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174170304).

113724324 is an abundant number, since it is smaller than the sum of its proper divisors (234616284).

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

113724324 is a wasteful number, since it uses less digits than its factorization.

113724324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1276 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 113724324 is about 10664.1607264707. The cubic root of 113724324 is about 484.4895951911.

The spelling of 113724324 in words is "one hundred thirteen million, seven hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 164 189 246 252 287 324 369 378 492 567 574 738 756 861 1107 1134 1148 1223 1476 1722 2214 2268 2446 2583 3321 3444 3669 4428 4892 5166 6642 7338 7749 8561 10332 11007 13284 14676 15498 17122 22014 23247 25683 30996 33021 34244 44028 46494 50143 51366 66042 77049 92988 99063 100286 102732 132084 150429 154098 198126 200572 231147 300858 308196 351001 396252 451287 462294 601716 693441 702002 902574 924588 1053003 1353861 1386882 1404004 1805148 2106006 2707722 2773764 3159009 4061583 4212012 5415444 6318018 8123166 9477027 12636036 16246332 18954054 28431081 37908108 56862162 113724324