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113780832 = 25311107747
BaseRepresentation
bin1101100100000…
…10100001100000
321221002122221220
412302002201200
5213111441312
615142415040
72551056354
oct662024140
9257078856
10113780832
1159254250
1232131480
131a75a249
141117b464
159ec7c8c
hex6c82860

113780832 has 48 divisors (see below), whose sum is σ = 325829952. Its totient is φ = 34478720.

The previous prime is 113780831. The next prime is 113780857. The reversal of 113780832 is 238087311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1137808322 = 25892155461224448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 113780793 and 113780802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113780831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52818 + ... + 54929.

It is an arithmetic number, because the mean of its divisors is an integer number (6788124).

Almost surely, 2113780832 is an apocalyptic number.

113780832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113780832 is an abundant number, since it is smaller than the sum of its proper divisors (212049120).

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

113780832 is a wasteful number, since it uses less digits than its factorization.

113780832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107771 (or 107763 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 113780832 is about 10666.8098323726. The cubic root of 113780832 is about 484.5698272347.

The spelling of 113780832 in words is "one hundred thirteen million, seven hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 107747 215494 323241 430988 646482 861976 1185217 1292964 1723952 2370434 2585928 3447904 3555651 4740868 5171856 7111302 9481736 10343712 14222604 18963472 28445208 37926944 56890416 113780832