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113182992 = 243213103587
BaseRepresentation
bin1101011111100…
…00100100010000
321212222021212200
412233300210100
5212433323432
615121523200
72543016366
oct657604420
9255867780
10113182992
115898606a
1231aa3500
131a5ab0b0
1411063636
159e0aa7c
hex6bf0910

113182992 has 120 divisors (see below), whose sum is σ = 345019584. Its totient is φ = 34428672.

The previous prime is 113182987. The next prime is 113182997. The reversal of 113182992 is 299281311.

It is an interprime number because it is at equal distance from previous prime (113182987) and next prime (113182997).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113182997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192523 + ... + 193109.

Almost surely, 2113182992 is an apocalyptic number.

113182992 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 113182992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172509792).

113182992 is an abundant number, since it is smaller than the sum of its proper divisors (231836592).

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

113182992 is a wasteful number, since it uses less digits than its factorization.

113182992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 113182992 is about 10638.7495505816. The cubic root of 113182992 is about 483.7196427478.

The spelling of 113182992 in words is "one hundred thirteen million, one hundred eighty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 103 104 117 144 156 206 208 234 309 312 412 468 587 618 624 824 927 936 1174 1236 1339 1648 1761 1854 1872 2348 2472 2678 3522 3708 4017 4696 4944 5283 5356 7044 7416 7631 8034 9392 10566 10712 12051 14088 14832 15262 16068 21132 21424 22893 24102 28176 30524 32136 42264 45786 48204 60461 61048 64272 68679 84528 91572 96408 120922 122096 137358 181383 183144 192816 241844 274716 362766 366288 483688 544149 549432 725532 785993 967376 1088298 1098864 1451064 1571986 2176596 2357979 2902128 3143972 4353192 4715958 6287944 7073937 8706384 9431916 12575888 14147874 18863832 28295748 37727664 56591496 113182992