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135431360 = 2652318401
BaseRepresentation
bin10000001001010…
…00010011000000
3100102211121220022
420010220103000
5234132300420
621234433012
73233101421
oct1004502300
9312747808
10135431360
116a4a1649
1239432768
132209a9cc
1413db5648
15bd52c25
hex81284c0

135431360 has 56 divisors (see below), whose sum is σ = 336535776. Its totient is φ = 51814400.

The previous prime is 135431353. The next prime is 135431399. The reversal of 135431360 is 63134531.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1841 + ... + 16560.

Almost surely, 2135431360 is an apocalyptic number.

135431360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135431360 is an abundant number, since it is smaller than the sum of its proper divisors (201104416).

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

135431360 is a wasteful number, since it uses less digits than its factorization.

135431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18441 (or 18431 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 135431360 is about 11637.4980128892. The cubic root of 135431360 is about 513.5385847378.

Adding to 135431360 its reverse (63134531), we get a palindrome (198565891).

The spelling of 135431360 in words is "one hundred thirty-five million, four hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 18401 36802 73604 92005 147208 184010 294416 368020 423223 588832 736040 846446 1177664 1472080 1692892 2116115 2944160 3385784 4232230 5888320 6771568 8464460 13543136 16928920 27086272 33857840 67715680 135431360