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134807160 = 233510710499
BaseRepresentation
bin10000000100011…
…11111001111000
3100101122220122210
420002033321320
5234002312120
621213215120
73224561535
oct1002177170
9311586583
10134807160
116a105684
12391914a0
1321c0c867
1413c91d8c
15bc7cce0
hex808fe78

134807160 has 64 divisors (see below), whose sum is σ = 408240000. Its totient is φ = 35609216.

The previous prime is 134807137. The next prime is 134807201. The reversal of 134807160 is 61708431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 7591 + ... + 18089.

It is an arithmetic number, because the mean of its divisors is an integer number (6378750).

Almost surely, 2134807160 is an apocalyptic number.

134807160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134807160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204120000).

134807160 is an abundant number, since it is smaller than the sum of its proper divisors (273432840).

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

134807160 is a wasteful number, since it uses less digits than its factorization.

134807160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10620 (or 10616 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 134807160 is about 11610.6485606963. The cubic root of 134807160 is about 512.7484070423.

The spelling of 134807160 in words is "one hundred thirty-four million, eight hundred seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 10499 12840 20998 31497 41996 52495 62994 83992 104990 125988 157485 209980 251976 314970 419960 629940 1123393 1259880 2246786 3370179 4493572 5616965 6740358 8987144 11233930 13480716 16850895 22467860 26961432 33701790 44935720 67403580 134807160