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113422752 = 25322317123
BaseRepresentation
bin1101100001010…
…11000110100000
321220102110202200
412300223012200
5213014012002
615131013200
72545035402
oct660530640
9256373680
10113422752
115902a213
1231b9a200
131a663271
14110c6b72
159e56b1c
hex6c2b1a0

113422752 has 72 divisors (see below), whose sum is σ = 336589344. Its totient is φ = 36161664.

The previous prime is 113422739. The next prime is 113422763. The reversal of 113422752 is 257224311.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 1938 + ... + 15185.

It is an arithmetic number, because the mean of its divisors is an integer number (4674852).

Almost surely, 2113422752 is an apocalyptic number.

113422752 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 113422752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168294672).

113422752 is an abundant number, since it is smaller than the sum of its proper divisors (223166592).

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

113422752 is a wasteful number, since it uses less digits than its factorization.

113422752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17162 (or 17151 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 113422752 is about 10650.0118309793. The cubic root of 113422752 is about 484.0609626555.

The spelling of 113422752 in words is "one hundred thirteen million, four hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 17123 34246 51369 68492 102738 136984 154107 205476 273968 308214 393829 410952 547936 616428 787658 821904 1181487 1232856 1575316 1643808 2362974 2465712 3150632 3544461 4725948 4931424 6301264 7088922 9451896 12602528 14177844 18903792 28355688 37807584 56711376 113422752