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113982132 = 223114121061
BaseRepresentation
bin1101100101100…
…11101010110100
321221110220002110
412302303222310
5213134412012
615151011020
72552555265
oct662635264
9257426073
10113982132
1159381510
1232209a70
131a7caa64
14111d096c
15a01773c
hex6cb3ab4

113982132 has 48 divisors (see below), whose sum is σ = 297226944. Its totient is φ = 33696000.

The previous prime is 113982131. The next prime is 113982241. The reversal of 113982132 is 231289311.

It is a self number, because there is not a number n which added to its sum of digits gives 113982132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113982131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5119 + ... + 15942.

It is an arithmetic number, because the mean of its divisors is an integer number (6192228).

Almost surely, 2113982132 is an apocalyptic number.

113982132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113982132 is an abundant number, since it is smaller than the sum of its proper divisors (183244812).

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

113982132 is a wasteful number, since it uses less digits than its factorization.

113982132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21120 (or 21118 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 113982132 is about 10676.2414734775. The cubic root of 113982132 is about 484.8554243674.

It can be divided in two parts, 11398 and 2132, that added together give a triangular number (13530 = T164).

The spelling of 113982132 in words is "one hundred thirteen million, nine hundred eighty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 21061 42122 63183 84244 126366 231671 252732 463342 695013 863501 926684 1390026 1727002 2590503 2780052 3454004 5181006 9498511 10362012 18997022 28495533 37994044 56991066 113982132