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113512932 = 223213594111
BaseRepresentation
bin1101100010000…
…01000111100100
321220121001110200
412301001013210
5213024403212
615132550500
72545562331
oct661010744
9256531420
10113512932
1159090a45
1232022430
131a695320
141110b988
159e736dc
hex6c411e4

113512932 has 72 divisors (see below), whose sum is σ = 314321280. Its totient is φ = 34326720.

The previous prime is 113512913. The next prime is 113512951. The reversal of 113512932 is 239215311.

113512932 is a `hidden beast` number, since 113 + 512 + 9 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (113512913) and next prime (113512951).

It is a junction number, because it is equal to n+sod(n) for n = 113512896 and 113512905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25557 + ... + 29667.

Almost surely, 2113512932 is an apocalyptic number.

113512932 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 113512932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157160640).

113512932 is an abundant number, since it is smaller than the sum of its proper divisors (200808348).

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

113512932 is a wasteful number, since it uses less digits than its factorization.

113512932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4188 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 113512932 is about 10654.2447878768. The cubic root of 113512932 is about 484.1892175041.

The spelling of 113512932 in words is "one hundred thirteen million, five hundred twelve thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 767 1062 1534 2124 2301 3068 4111 4602 6903 8222 9204 12333 13806 16444 24666 27612 36999 49332 53443 73998 106886 147996 160329 213772 242549 320658 480987 485098 641316 727647 961974 970196 1455294 1923948 2182941 2910588 3153137 4365882 6306274 8731764 9459411 12612548 18918822 28378233 37837644 56756466 113512932