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109147680 = 2532575797
BaseRepresentation
bin1101000000101…
…11011000100000
321121101021110200
412200113120200
5210420211210
614455225200
72463511545
oct640273040
9247337420
10109147680
115667a2a4
1230678200
13197c7435
14106d2bcc
1598b00c0
hex6817620

109147680 has 72 divisors (see below), whose sum is σ = 372471372. Its totient is φ = 29105664.

The previous prime is 109147657. The next prime is 109147681. The reversal of 109147680 is 86741901.

109147680 is a `hidden beast` number, since 109 + 1 + 476 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108743184 + 404496 = 10428^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109147681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36459 + ... + 39338.

Almost surely, 2109147680 is an apocalyptic number.

109147680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109147680 is an abundant number, since it is smaller than the sum of its proper divisors (263323692).

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

109147680 is a wasteful number, since it uses less digits than its factorization.

109147680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75818 (or 75807 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 109147680 is about 10447.3767042258. The cubic root of 109147680 is about 477.9012535060.

The spelling of 109147680 in words is "one hundred nine million, one hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 75797 151594 227391 303188 378985 454782 606376 682173 757970 909564 1136955 1212752 1364346 1515940 1819128 2273910 2425504 2728692 3031880 3410865 3638256 4547820 5457384 6063760 6821730 7276512 9095640 10914768 12127520 13643460 18191280 21829536 27286920 36382560 54573840 109147680