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135766992 = 24316716937
BaseRepresentation
bin10000001011110…
…10001111010000
3100110110200022010
420011322033100
5234224020432
621245542520
73236000064
oct1005721720
9313420263
10135766992
116a700829
1239574a40
13221876ca
1414061aa4
15bdbc3cc
hex817a3d0

135766992 has 40 divisors (see below), whose sum is σ = 352852416. Its totient is φ = 44982016.

The previous prime is 135766987. The next prime is 135766997. The reversal of 135766992 is 299667531.

It is an interprime number because it is at equal distance from previous prime (135766987) and next prime (135766997).

It is a super-2 number, since 2×1357669922 = 36865352233456128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135766997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453 + ... + 16484.

Almost surely, 2135766992 is an apocalyptic number.

135766992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135766992 is an abundant number, since it is smaller than the sum of its proper divisors (217085424).

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

135766992 is a wasteful number, since it uses less digits than its factorization.

135766992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17115 (or 17109 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The square root of 135766992 is about 11651.9093714292. The cubic root of 135766992 is about 513.9624594707.

The spelling of 135766992 in words is "one hundred thirty-five million, seven hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 334 501 668 1002 1336 2004 2672 4008 8016 16937 33874 50811 67748 101622 135496 203244 270992 406488 812976 2828479 5656958 8485437 11313916 16970874 22627832 33941748 45255664 67883496 135766992