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113541632 = 292111051
BaseRepresentation
bin1101100010010…
…00001000000000
321220122111211122
412301020020000
5213031313012
615133331412
72546042111
oct661101000
9256574748
10113541632
1159100566
1232036b68
131a6a53c9
1411118208
159e7be72
hex6c48200

113541632 has 40 divisors (see below), whose sum is σ = 228153552. Its totient is φ = 56448000.

The previous prime is 113541619. The next prime is 113541713. The reversal of 113541632 is 236145311.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 107507 + ... + 108557.

Almost surely, 2113541632 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 113541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114076776).

113541632 is an abundant number, since it is smaller than the sum of its proper divisors (114611920).

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

113541632 is an equidigital number, since it uses as much as digits as its factorization.

113541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1264 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 113541632 is about 10655.5915837648. The cubic root of 113541632 is about 484.2300206657.

Adding to 113541632 its reverse (236145311), we get a palindrome (349686943).

The spelling of 113541632 in words is "one hundred thirteen million, five hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 211 256 422 512 844 1051 1688 2102 3376 4204 6752 8408 13504 16816 27008 33632 54016 67264 108032 134528 221761 269056 443522 538112 887044 1774088 3548176 7096352 14192704 28385408 56770816 113541632