Search a number
-
+
134092464 = 243111714939
BaseRepresentation
bin1111111111000…
…01011010110000
3100100022121021120
413333201122300
5233311424324
621150022240
73215524062
oct777413260
9310277246
10134092464
1169767720
1238aa7980
1321a1c46c
1413b47732
15bb8b179
hex7fe16b0

134092464 has 80 divisors (see below), whose sum is σ = 400152960. Its totient is φ = 38241280.

The previous prime is 134092429. The next prime is 134092471. The reversal of 134092464 is 464290431.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1507 + ... + 16445.

It is an arithmetic number, because the mean of its divisors is an integer number (5001912).

Almost surely, 2134092464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134092464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200076480).

134092464 is an abundant number, since it is smaller than the sum of its proper divisors (266060496).

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

134092464 is a wasteful number, since it uses less digits than its factorization.

134092464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14978 (or 14972 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 134092464 is about 11579.8300505664. The cubic root of 134092464 is about 511.8406690096.

The spelling of 134092464 in words is "one hundred thirty-four million, ninety-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 14939 29878 44817 59756 89634 119512 164329 179268 239024 253963 328658 358536 492987 507926 657316 717072 761889 985974 1015852 1314632 1523778 1971948 2031704 2629264 2793593 3047556 3943896 4063408 5587186 6095112 7887792 8380779 11174372 12190224 16761558 22348744 33523116 44697488 67046232 134092464