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107427636 = 22322984101
BaseRepresentation
bin1100110011100…
…11011100110100
321111010220000100
412121303130310
5210000141021
614354314100
72443056051
oct631633464
9244126010
10107427636
1155704a78
122bb88930
1319344564
14103a6028
159670626
hex6673734

107427636 has 18 divisors (see below), whose sum is σ = 271553282. Its totient is φ = 35809200.

The previous prime is 107427611. The next prime is 107427701. The reversal of 107427636 is 636724701.

107427636 is a `hidden beast` number, since 10 + 7 + 4 + 2 + 7 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73205136 + 34222500 = 8556^2 + 5850^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2984101 = 107427636 / (1 + 0 + 7 + 4 + 2 + 7 + 6 + 3 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 107427636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1492015 + ... + 1492086.

Almost surely, 2107427636 is an apocalyptic number.

It is an amenable number.

107427636 is an abundant number, since it is smaller than the sum of its proper divisors (164125646).

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

107427636 is a wasteful number, since it uses less digits than its factorization.

107427636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984111 (or 2984106 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 107427636 is about 10364.7303872315. The cubic root of 107427636 is about 475.3775554056.

The spelling of 107427636 in words is "one hundred seven million, four hundred twenty-seven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2984101 5968202 8952303 11936404 17904606 26856909 35809212 53713818 107427636