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107668132 = 221113414591
BaseRepresentation
bin1100110101011…
…10001010100100
321111121002220121
412122232022210
5210030340012
614403411324
72445110155
oct632561244
9244532817
10107668132
1155859730
1230083b44
13193c9b70
141042992c
1596bba07
hex66ae2a4

107668132 has 48 divisors (see below), whose sum is σ = 226808064. Its totient is φ = 44064000.

The previous prime is 107668103. The next prime is 107668147. The reversal of 107668132 is 231866701.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 21157 + ... + 25747.

It is an arithmetic number, because the mean of its divisors is an integer number (4725168).

Almost surely, 2107668132 is an apocalyptic number.

It is an amenable number.

107668132 is an abundant number, since it is smaller than the sum of its proper divisors (119139932).

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

107668132 is a wasteful number, since it uses less digits than its factorization.

107668132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 107668132 is about 10376.3255538750. The cubic root of 107668132 is about 475.7320302794.

The spelling of 107668132 in words is "one hundred seven million, six hundred sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 41 44 52 82 143 164 286 451 533 572 902 1066 1804 2132 4591 5863 9182 11726 18364 23452 50501 59683 101002 119366 188231 202004 238732 376462 656513 752924 1313026 2070541 2447003 2626052 4141082 4894006 8282164 9788012 26917033 53834066 107668132