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13880576 = 2859919
BaseRepresentation
bin110100111100…
…110100000000
3222010012120102
4310330310000
512023134301
61213301532
7225661103
oct64746400
928105512
1013880576
117920756
1247948a8
132b4cc78
141bb473a
151342b6b
hexd3cd00

13880576 has 36 divisors (see below), whose sum is σ = 28207200. Its totient is φ = 6815232.

The previous prime is 13880567. The next prime is 13880579. The reversal of 13880576 is 67508831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13880579) 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, 14645 + ... + 15563.

Almost surely, 213880576 is an apocalyptic number.

13880576 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 13880576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103600).

13880576 is an abundant number, since it is smaller than the sum of its proper divisors (14326624).

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

13880576 is an frugal number, since it uses more digits than its factorization.

13880576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 13880576 is about 3725.6645044878. The cubic root of 13880576 is about 240.3269617718.

The spelling of 13880576 in words is "thirteen million, eight hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 919 944 1838 1888 3676 3776 7352 7552 14704 15104 29408 54221 58816 108442 117632 216884 235264 433768 867536 1735072 3470144 6940288 13880576