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134584272 = 2432934613
BaseRepresentation
bin10000000010110…
…01011111010000
3100101020120220200
420001121133100
5233423144042
621204335200
73222642654
oct1001313720
9311216820
10134584272
1169a73179
12390a4500
1321b62284
1413c34a64
15bc36c4c
hex80597d0

134584272 has 30 divisors (see below), whose sum is σ = 376649442. Its totient is φ = 44861376.

The previous prime is 134584267. The next prime is 134584309. The reversal of 134584272 is 272485431.

It is a happy number.

134584272 is a `hidden beast` number, since 1 + 3 + 4 + 584 + 2 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126427536 + 8156736 = 11244^2 + 2856^2 .

It is a super-2 number, since 2×1345842722 = 36225852539539968, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 467163 + ... + 467450.

Almost surely, 2134584272 is an apocalyptic number.

134584272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134584272 is an abundant number, since it is smaller than the sum of its proper divisors (242065170).

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

134584272 is a wasteful number, since it uses less digits than its factorization.

134584272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934627 (or 934618 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 134584272 is about 11601.0461597220. The cubic root of 134584272 is about 512.4656611536.

The spelling of 134584272 in words is "one hundred thirty-four million, five hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 934613 1869226 2803839 3738452 5607678 7476904 8411517 11215356 14953808 16823034 22430712 33646068 44861424 67292136 134584272