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107589480 = 23357011279
BaseRepresentation
bin1100110100110…
…10111101101000
321111110010000120
412122122331220
5210020330410
614402003240
72444331645
oct632327550
9244403016
10107589480
1155805629
1230046520
13193a011b
1410408dcc
1596a3570
hex669af68

107589480 has 64 divisors (see below), whose sum is σ = 323481600. Its totient is φ = 28627200.

The previous prime is 107589409. The next prime is 107589491. The reversal of 107589480 is 84985701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83481 + ... + 84759.

It is an arithmetic number, because the mean of its divisors is an integer number (5054400).

Almost surely, 2107589480 is an apocalyptic number.

107589480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107589480 is an abundant number, since it is smaller than the sum of its proper divisors (215892120).

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

107589480 is a wasteful number, since it uses less digits than its factorization.

107589480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 107589480 is about 10372.5348878661. The cubic root of 107589480 is about 475.6161606783.

The spelling of 107589480 in words is "one hundred seven million, five hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 701 1279 1402 2103 2558 2804 3505 3837 4206 5116 5608 6395 7010 7674 8412 10232 10515 12790 14020 15348 16824 19185 21030 25580 28040 30696 38370 42060 51160 76740 84120 153480 896579 1793158 2689737 3586316 4482895 5379474 7172632 8965790 10758948 13448685 17931580 21517896 26897370 35863160 53794740 107589480