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113294052 = 22341767307
BaseRepresentation
bin1101100000010…
…11101011100100
321220011221020000
412300023223210
5213000402202
615124141300
72543661234
oct660135344
9256157200
10113294052
1158a51553
1231b37830
131a619801
1411091cc4
159e2d91c
hex6c0bae4

113294052 has 120 divisors (see below), whose sum is σ = 319312224. Its totient is φ = 34898688.

The previous prime is 113294011. The next prime is 113294053. The reversal of 113294052 is 250492311.

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

It is not an unprimeable number, because it can be changed into a prime (113294053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 368883 + ... + 369189.

Almost surely, 2113294052 is an apocalyptic number.

113294052 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 113294052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159656112).

113294052 is an abundant number, since it is smaller than the sum of its proper divisors (206018172).

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

113294052 is a wasteful number, since it uses less digits than its factorization.

113294052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 113294052 is about 10643.9678691736. The cubic root of 113294052 is about 483.8778065046.

The spelling of 113294052 in words is "one hundred thirteen million, two hundred ninety-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 67 68 81 102 108 134 153 162 201 204 268 306 307 324 402 459 603 612 614 804 918 921 1139 1206 1228 1377 1809 1836 1842 2278 2412 2754 2763 3417 3618 3684 4556 5219 5427 5508 5526 6834 7236 8289 10251 10438 10854 11052 13668 15657 16578 20502 20569 20876 21708 24867 30753 31314 33156 41004 41138 46971 49734 61506 61707 62628 82276 92259 93942 99468 123012 123414 140913 184518 185121 187884 246828 281826 349673 369036 370242 422739 555363 563652 699346 740484 845478 1049019 1110726 1398692 1666089 1690956 2098038 2221452 3147057 3332178 4196076 6294114 6664356 9441171 12588228 18882342 28323513 37764684 56647026 113294052