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136819920 = 2435570083
BaseRepresentation
bin10000010011110…
…11010011010000
3100112110011122110
420021323103100
5240011214140
621324305320
73250643616
oct1011732320
9315404573
10136819920
117025a916
12399a2240
1322465a43
14142576b6
15c029380
hex827b4d0

136819920 has 40 divisors (see below), whose sum is σ = 424142496. Its totient is φ = 36485248.

The previous prime is 136819919. The next prime is 136819951. The reversal of 136819920 is 29918631.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284802 + ... + 285281.

Almost surely, 2136819920 is an apocalyptic number.

136819920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136819920 is an abundant number, since it is smaller than the sum of its proper divisors (287322576).

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

136819920 is a wasteful number, since it uses less digits than its factorization.

136819920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570099 (or 570093 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 136819920 is about 11697.0047448054. The cubic root of 136819920 is about 515.2877017538.

The spelling of 136819920 in words is "one hundred thirty-six million, eight hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 570083 1140166 1710249 2280332 2850415 3420498 4560664 5700830 6840996 8551245 9121328 11401660 13681992 17102490 22803320 27363984 34204980 45606640 68409960 136819920