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136928 = 2511389
BaseRepresentation
bin100001011011100000
320221211102
4201123200
513340203
62533532
71110131
oct413340
9227742
10136928
1193970
12672a8
134a42c
1437c88
152a888
hex216e0

136928 has 24 divisors (see below), whose sum is σ = 294840. Its totient is φ = 62080.

The previous prime is 136897. The next prime is 136943. The reversal of 136928 is 829631.

It is a self number, because there is not a number n which added to its sum of digits gives 136928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2136928 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 136928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

136928 is an abundant number, since it is smaller than the sum of its proper divisors (157912).

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

136928 is a wasteful number, since it uses less digits than its factorization.

136928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 136928 is about 370.0378359033. The cubic root of 136928 is about 51.5423348758.

The spelling of 136928 in words is "one hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 389 778 1556 3112 4279 6224 8558 12448 17116 34232 68464 136928