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113663376 = 2432532281
BaseRepresentation
bin1101100011001…
…01110110010000
321220212200211200
412301211312100
5213044212001
615140111200
72550060051
oct661456620
9256780750
10113663376
1159183a82
1232095500
131a718948
141114a728
159ea3086
hex6c65d90

113663376 has 90 divisors (see below), whose sum is σ = 325368498. Its totient is φ = 37040640.

The previous prime is 113663359. The next prime is 113663393. The reversal of 113663376 is 673366311.

113663376 is a `hidden beast` number, since 1 + 13 + 6 + 633 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (113663359) and next prime (113663393).

It can be written as a sum of positive squares in 3 ways, for example, as 48441600 + 65221776 = 6960^2 + 8076^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 113663376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 404356 + ... + 404636.

Almost surely, 2113663376 is an apocalyptic number.

113663376 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 113663376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162684249).

113663376 is an abundant number, since it is smaller than the sum of its proper divisors (211705122).

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

113663376 is a wasteful number, since it uses less digits than its factorization.

113663376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 339 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 113663376 is about 10661.3027346568. The cubic root of 113663376 is about 484.4030292819.

The spelling of 113663376 in words is "one hundred thirteen million, six hundred sixty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 281 318 424 477 562 636 843 848 954 1124 1272 1686 1908 2248 2529 2544 2809 3372 3816 4496 5058 5618 6744 7632 8427 10116 11236 13488 14893 16854 20232 22472 25281 29786 33708 40464 44679 44944 50562 59572 67416 89358 101124 119144 134037 134832 178716 202248 238288 268074 357432 404496 536148 714864 789329 1072296 1578658 2144592 2367987 3157316 4735974 6314632 7103961 9471948 12629264 14207922 18943896 28415844 37887792 56831688 113663376