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113512384 = 2619277337
BaseRepresentation
bin1101100010000…
…00111111000000
321220121000201101
412301000333000
5213024344014
615132544144
72545560616
oct661007700
9256530641
10113512384
1159090597
1232022054
131a694cbb
141110b6b6
159e73474
hex6c40fc0

113512384 has 56 divisors (see below), whose sum is σ = 238668560. Its totient is φ = 53415936.

The previous prime is 113512381. The next prime is 113512387. The reversal of 113512384 is 483215311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113512381) and next prime (113512387).

It is a super-2 number, since 2×1135123842 = 25770122642726912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113512381) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 336664 + ... + 337000.

Almost surely, 2113512384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113512384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119334280).

113512384 is an abundant number, since it is smaller than the sum of its proper divisors (125156176).

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

113512384 is a wasteful number, since it uses less digits than its factorization.

113512384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 635 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 113512384 is about 10654.2190703965. The cubic root of 113512384 is about 484.1884383384.

Adding to 113512384 its reverse (483215311), we get a palindrome (596727695).

The spelling of 113512384 in words is "one hundred thirteen million, five hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 277 304 337 554 608 674 1108 1216 1348 2216 2696 4432 5263 5392 6403 8864 10526 10784 12806 17728 21052 21568 25612 42104 51224 84208 93349 102448 168416 186698 204896 336832 373396 409792 746792 1493584 1773631 2987168 3547262 5974336 7094524 14189048 28378096 56756192 113512384