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134586660 = 2235131091583
BaseRepresentation
bin10000000010110…
…10000100100100
3100101020201012010
420001122010210
5233423233120
621204354220
73222652635
oct1001320444
9311221163
10134586660
1169a74a4a
12390a5970
1321b633a0
1413c3588c
15bc377e0
hex805a124

134586660 has 96 divisors (see below), whose sum is σ = 409812480. Its totient is φ = 32804352.

The previous prime is 134586659. The next prime is 134586667. The reversal of 134586660 is 66685431.

It is a super-2 number, since 2×1345866602 = 36227138099911200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (134586667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84229 + ... + 85811.

It is an arithmetic number, because the mean of its divisors is an integer number (4268880).

Almost surely, 2134586660 is an apocalyptic number.

134586660 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 134586660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204906240).

134586660 is an abundant number, since it is smaller than the sum of its proper divisors (275225820).

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

134586660 is a wasteful number, since it uses less digits than its factorization.

134586660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 134586660 is about 11601.1490810178. The cubic root of 134586660 is about 512.4686921188.

Subtracting from 134586660 its sum of digits (39), we obtain a triangular number (134586621 = T16406).

The spelling of 134586660 in words is "one hundred thirty-four million, five hundred eighty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 218 260 327 390 436 545 654 780 1090 1308 1417 1583 1635 2180 2834 3166 3270 4251 4749 5668 6332 6540 7085 7915 8502 9498 14170 15830 17004 18996 20579 21255 23745 28340 31660 41158 42510 47490 61737 82316 85020 94980 102895 123474 172547 205790 246948 308685 345094 411580 517641 617370 690188 862735 1035282 1234740 1725470 2070564 2243111 2588205 3450940 4486222 5176410 6729333 8972444 10352820 11215555 13458666 22431110 26917332 33646665 44862220 67293330 134586660