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13381376 = 28167313
BaseRepresentation
bin110011000010…
…111100000000
3221011211210112
4303002330000
511411201001
61154450452
7221511521
oct63027400
927154715
1013381376
11760a698
124593a28
132a06998
141ac4848
151294cbb
hexcc2f00

13381376 has 36 divisors (see below), whose sum is σ = 26956272. Its totient is φ = 6629376.

The previous prime is 13381373. The next prime is 13381393. The reversal of 13381376 is 67318331.

It is a super-2 number, since 2×133813762 = 358122447306752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13381373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42596 + ... + 42908.

Almost surely, 213381376 is an apocalyptic number.

13381376 is a gapful number since it is divisible by the number (16) 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 13381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478136).

13381376 is an abundant number, since it is smaller than the sum of its proper divisors (13574896).

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

13381376 is an equidigital number, since it uses as much as digits as its factorization.

13381376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 13381376 is about 3658.0563144927. The cubic root of 13381376 is about 237.4106833124.

The spelling of 13381376 in words is "thirteen million, three hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 167 256 313 334 626 668 1252 1336 2504 2672 5008 5344 10016 10688 20032 21376 40064 42752 52271 80128 104542 209084 418168 836336 1672672 3345344 6690688 13381376