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136836480 = 27351121931
BaseRepresentation
bin10000010011111…
…11010110000000
3100112111000100210
420021333112000
5240012231410
621324514120
73251043114
oct1011772600
9315430323
10136836480
1170271300
12399ab940
1322470441
141425d744
15c02e220
hex827f580

136836480 has 384 divisors, whose sum is σ = 520934400. Its totient is φ = 30412800.

The previous prime is 136836467. The next prime is 136836503. The reversal of 136836480 is 84638631.

136836480 = T347 + T348 + ... + T951.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4414065 + ... + 4414095.

It is an arithmetic number, because the mean of its divisors is an integer number (1356600).

Almost surely, 2136836480 is an apocalyptic number.

136836480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260467200).

136836480 is an abundant number, since it is smaller than the sum of its proper divisors (384097920).

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

136836480 is a wasteful number, since it uses less digits than its factorization.

136836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 136836480 is about 11697.7125969140. The cubic root of 136836480 is about 515.3084901987.

The spelling of 136836480 in words is "one hundred thirty-six million, eight hundred thirty-six thousand, four hundred eighty".