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107663742 = 2341275233
BaseRepresentation
bin1100110101011…
…01000101111110
321111120212220000
412122231011332
5210030214432
614403335130
72445061314
oct632550576
9244525800
10107663742
11558563aa
12300814a6
13193c7b74
14104280b4
1596ba57c
hex66ad17e

107663742 has 40 divisors (see below), whose sum is σ = 243192576. Its totient is φ = 35598528.

The previous prime is 107663711. The next prime is 107663783. The reversal of 107663742 is 247366701.

107663742 is a `hidden beast` number, since 10 + 7 + 6 + 637 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 107663697 and 107663706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17958 + ... + 23190.

Almost surely, 2107663742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107663742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121596288).

107663742 is an abundant number, since it is smaller than the sum of its proper divisors (135528834).

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

107663742 is a wasteful number, since it uses less digits than its factorization.

107663742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5365 counting only the distinct ones).

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

The square root of 107663742 is about 10376.1140124808. The cubic root of 107663742 is about 475.7255644479.

The spelling of 107663742 in words is "one hundred seven million, six hundred sixty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 254 381 762 1143 2286 3429 5233 6858 10287 10466 15699 20574 31398 47097 94194 141291 282582 423873 664591 847746 1329182 1993773 3987546 5981319 11962638 17943957 35887914 53831871 107663742