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136696032 = 25331119757
BaseRepresentation
bin10000010010111…
…01000011100000
3100112012212201000
420021131003200
5234443233112
621321512000
73246616464
oct1011350340
9315185630
10136696032
1170185830
1239942600
1322421535
14142244a4
15c0027dc
hex825d0e0

136696032 has 192 divisors, whose sum is σ = 458438400. Its totient is φ = 39191040.

The previous prime is 136696003. The next prime is 136696117. The reversal of 136696032 is 230696631.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180198 + ... + 180954.

It is an arithmetic number, because the mean of its divisors is an integer number (2387700).

Almost surely, 2136696032 is an apocalyptic number.

136696032 is a gapful number since it is divisible by the number (12) 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 136696032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229219200).

136696032 is an abundant number, since it is smaller than the sum of its proper divisors (321742368).

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

136696032 is a wasteful number, since it uses less digits than its factorization.

136696032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 136696032 is about 11691.7078307662. The cubic root of 136696032 is about 515.1321268431.

It can be divided in two parts, 13669 and 6032, that added together give a triangular number (19701 = T198).

The spelling of 136696032 in words is "one hundred thirty-six million, six hundred ninety-six thousand, thirty-two".