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13879320 = 23357133141
BaseRepresentation
bin110100111100…
…100000011000
3222010010211220
4310330200120
512023114240
61213252040
7225654330
oct64744030
928103756
1013879320
11791a814
124794020
132b4c520
141bb40c0
1513425d0
hexd3c818

13879320 has 256 divisors, whose sum is σ = 54190080. Its totient is φ = 2764800.

The previous prime is 13879309. The next prime is 13879321. The reversal of 13879320 is 2397831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13879321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338500 + ... + 338540.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 213879320 is an apocalyptic number.

13879320 is a gapful number since it is divisible by the number (10) 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 13879320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27095040).

13879320 is an abundant number, since it is smaller than the sum of its proper divisors (40310760).

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

13879320 is a wasteful number, since it uses less digits than its factorization.

13879320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 13879320 is about 3725.4959401401. The cubic root of 13879320 is about 240.3197127986.

The spelling of 13879320 in words is "thirteen million, eight hundred seventy-nine thousand, three hundred twenty".