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136519380 = 22325758441
BaseRepresentation
bin10000010001100…
…01111011010100
3100111212220101100
420020301323110
5234422110010
621314030100
73245252454
oct1010617324
9314786340
10136519380
1170075038
1239878330
132238bcca
14141b9d64
15beba2c0
hex8231ed4

136519380 has 36 divisors (see below), whose sum is σ = 414109332. Its totient is φ = 36405120.

The previous prime is 136519379. The next prime is 136519387. The reversal of 136519380 is 83915631.

It is a happy number.

136519380 is a `hidden beast` number, since 136 + 519 + 3 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16353936 + 120165444 = 4044^2 + 10962^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1365193802 = 37275082231168800, 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 not an unprimeable number, because it can be changed into a prime (136519387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379041 + ... + 379400.

It is an arithmetic number, because the mean of its divisors is an integer number (11503037).

Almost surely, 2136519380 is an apocalyptic number.

136519380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136519380 is an abundant number, since it is smaller than the sum of its proper divisors (277589952).

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

136519380 is a wasteful number, since it uses less digits than its factorization.

136519380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758456 (or 758451 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 136519380 is about 11684.1508035458. The cubic root of 136519380 is about 514.9101297921.

The spelling of 136519380 in words is "one hundred thirty-six million, five hundred nineteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 758441 1516882 2275323 3033764 3792205 4550646 6825969 7584410 9101292 11376615 13651938 15168820 22753230 27303876 34129845 45506460 68259690 136519380