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13129728 = 21132137
BaseRepresentation
bin110010000101…
…100000000000
3220201001121020
4302011200000
511330122403
61145225440
7216413043
oct62054000
926631536
1013129728
117458617
124492280
132949291
141a5ac5a
151245453
hexc85800

13129728 has 48 divisors (see below), whose sum is σ = 35020440. Its totient is φ = 4374528.

The previous prime is 13129693. The next prime is 13129747. The reversal of 13129728 is 82792131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5076 + ... + 7212.

Almost surely, 213129728 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 13129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510220).

13129728 is an abundant number, since it is smaller than the sum of its proper divisors (21890712).

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

13129728 is an equidigital number, since it uses as much as digits as its factorization.

13129728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2142 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 13129728 is about 3623.4966537862. The cubic root of 13129728 is about 235.9130197515.

The spelling of 13129728 in words is "thirteen million, one hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2137 3072 4274 6144 6411 8548 12822 17096 25644 34192 51288 68384 102576 136768 205152 273536 410304 547072 820608 1094144 1641216 2188288 3282432 4376576 6564864 13129728