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136947096 = 2332111347283
BaseRepresentation
bin10000010100110…
…10010110011000
3100112200122002200
420022122112120
5240024301341
621331130200
73252013446
oct1012322630
9315618080
10136947096
1170337420
1239a43960
13224ab8b0
141428bb96
15c051db6
hex829a598

136947096 has 192 divisors, whose sum is σ = 446584320. Its totient is φ = 37359360.

The previous prime is 136947047. The next prime is 136947133. The reversal of 136947096 is 690749631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483771 + ... + 484053.

It is an arithmetic number, because the mean of its divisors is an integer number (2325960).

Almost surely, 2136947096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136947096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223292160).

136947096 is an abundant number, since it is smaller than the sum of its proper divisors (309637224).

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

136947096 is a wasteful number, since it uses less digits than its factorization.

136947096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 136947096 is about 11702.4397456257. The cubic root of 136947096 is about 515.4473079839.

The spelling of 136947096 in words is "one hundred thirty-six million, nine hundred forty-seven thousand, ninety-six".