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113522688 = 211332053
BaseRepresentation
bin1101100010000…
…11100000000000
321220121112212000
412301003200000
5213030211223
615133104000
72545632636
oct661034000
9256545760
10113522688
1159098304
1232028000
131a6998b6
1411111356
159e76543
hex6c43800

113522688 has 96 divisors (see below), whose sum is σ = 336445200. Its totient is φ = 37822464.

The previous prime is 113522683. The next prime is 113522707. The reversal of 113522688 is 886225311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113522683) 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, 54270 + ... + 56322.

Almost surely, 2113522688 is an apocalyptic number.

113522688 is a gapful number since it is divisible by the number (18) 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 113522688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168222600).

113522688 is an abundant number, since it is smaller than the sum of its proper divisors (222922512).

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

113522688 is an equidigital number, since it uses as much as digits as its factorization.

113522688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2058 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 113522688 is about 10654.7026237244. The cubic root of 113522688 is about 484.2030885071.

Adding to 113522688 its reverse (886225311), we get a palindrome (999747999).

The spelling of 113522688 in words is "one hundred thirteen million, five hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2053 2304 3072 3456 4106 4608 6144 6159 6912 8212 9216 12318 13824 16424 18432 18477 24636 27648 32848 36954 49272 55296 55431 65696 73908 98544 110862 131392 147816 197088 221724 262784 295632 394176 443448 525568 591264 788352 886896 1051136 1182528 1576704 1773792 2102272 2365056 3153408 3547584 4204544 4730112 6306816 7095168 9460224 12613632 14190336 18920448 28380672 37840896 56761344 113522688