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113510656 = 28729049
BaseRepresentation
bin1101100010000…
…00100100000000
321220120221100101
412301000210000
5213024320111
615132532144
72545552600
oct661004400
9256527311
10113510656
115908a266
1232021054
131a69428c
141110ac00
159e72bc1
hex6c40900

113510656 has 54 divisors (see below), whose sum is σ = 263599350. Its totient is φ = 48642048.

The previous prime is 113510653. The next prime is 113510659. The reversal of 113510656 is 656015311.

It is an interprime number because it is at equal distance from previous prime (113510653) and next prime (113510659).

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 5017600 = 10416^2 + 2240^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113510653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8020 + ... + 17068.

Almost surely, 2113510656 is an apocalyptic number.

113510656 is a gapful number since it is divisible by the number (16) 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 113510656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131799675).

113510656 is an abundant number, since it is smaller than the sum of its proper divisors (150088694).

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

113510656 is an frugal number, since it uses more digits than its factorization.

113510656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9079 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 113510656 is about 10654.1379754535. The cubic root of 113510656 is about 484.1859813911.

Adding to 113510656 its reverse (656015311), we get a palindrome (769525967).

The spelling of 113510656 in words is "one hundred thirteen million, five hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 9049 12544 18098 36196 63343 72392 126686 144784 253372 289568 443401 506744 579136 886802 1013488 1158272 1773604 2026976 2316544 3547208 4053952 7094416 8107904 14188832 16215808 28377664 56755328 113510656