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112924 = 22737109
BaseRepresentation
bin11011100100011100
312201220101
4123210130
512103144
62230444
7650140
oct334434
9181811
10112924
1177929
1255424
133c526
142d220
15236d4
hex1b91c

112924 has 24 divisors (see below), whose sum is σ = 234080. Its totient is φ = 46656.

The previous prime is 112921. The next prime is 112927. The reversal of 112924 is 429211.

It is an interprime number because it is at equal distance from previous prime (112921) and next prime (112927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112921) 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, 982 + ... + 1090.

2112924 is an apocalyptic number.

112924 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 112924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117040).

112924 is an abundant number, since it is smaller than the sum of its proper divisors (121156).

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

112924 is a wasteful number, since it uses less digits than its factorization.

112924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 112924 is about 336.0416640835. The cubic root of 112924 is about 48.3350402357.

Multiplying 112924 by its sum of digits (19), we get a triangular number (2145556 = T2071).

The spelling of 112924 in words is "one hundred twelve thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 37 74 109 148 218 259 436 518 763 1036 1526 3052 4033 8066 16132 28231 56462 112924