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107589372 = 223117431097
BaseRepresentation
bin1100110100110…
…10111011111100
321111110002212120
412122122323330
5210020324442
614402002540
72444331432
oct632327374
9244402776
10107589372
1155805540
1230046450
13193a0067
1410408d52
1596a34ec
hex669aefc

107589372 has 48 divisors (see below), whose sum is σ = 274482432. Its totient is φ = 32529280.

The previous prime is 107589329. The next prime is 107589373. The reversal of 107589372 is 273985701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107589373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97528 + ... + 98624.

It is an arithmetic number, because the mean of its divisors is an integer number (5718384).

Almost surely, 2107589372 is an apocalyptic number.

107589372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107589372 is an abundant number, since it is smaller than the sum of its proper divisors (166893060).

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

107589372 is a wasteful number, since it uses less digits than its factorization.

107589372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 107589372 is about 10372.5296818086. The cubic root of 107589372 is about 475.6160015346.

The spelling of 107589372 in words is "one hundred seven million, five hundred eighty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 743 1097 1486 2194 2229 2972 3291 4388 4458 6582 8173 8916 12067 13164 16346 24134 24519 32692 36201 48268 49038 72402 98076 144804 815071 1630142 2445213 3260284 4890426 8965781 9780852 17931562 26897343 35863124 53794686 107589372