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113477076 = 22323785193
BaseRepresentation
bin1101100001110…
…00010111010100
321220112020021200
412300320113110
5213022231301
615132112500
72545352646
oct660702724
9256466250
10113477076
1159067009
1232005730
131a681bcb
14110dc896
159e67c86
hex6c385d4

113477076 has 36 divisors (see below), whose sum is σ = 294600852. Its totient is φ = 36802944.

The previous prime is 113477071. The next prime is 113477083. The reversal of 113477076 is 670774311.

113477076 is a `hidden beast` number, since 113 + 477 + 0 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88736400 + 24740676 = 9420^2 + 4974^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 113477076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113477071) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41265 + ... + 43928.

It is an arithmetic number, because the mean of its divisors is an integer number (8183357).

Almost surely, 2113477076 is an apocalyptic number.

It is an amenable number.

113477076 is an abundant number, since it is smaller than the sum of its proper divisors (181123776).

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

113477076 is a wasteful number, since it uses less digits than its factorization.

113477076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85240 (or 85235 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 113477076 is about 10652.5619453726. The cubic root of 113477076 is about 484.1382308996.

It can be divided in two parts, 1134 and 77076, that added together give a triangular number (78210 = T395).

The spelling of 113477076 in words is "one hundred thirteen million, four hundred seventy-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 85193 170386 255579 340772 511158 766737 1022316 1533474 3066948 3152141 6304282 9456423 12608564 18912846 28369269 37825692 56738538 113477076