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13732480 = 27543499
BaseRepresentation
bin110100011000…
…101010000000
3221211200102101
4310120222000
512003414410
61210200144
7224503246
oct64305200
927750371
1013732480
11782a463
124723054
132aca738
141b76796
151313d3a
hexd18a80

13732480 has 64 divisors (see below), whose sum is σ = 33660000. Its totient is φ = 5354496.

The previous prime is 13732471. The next prime is 13732483. The reversal of 13732480 is 8423731.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13732483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27271 + ... + 27769.

Almost surely, 213732480 is an apocalyptic number.

13732480 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 13732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16830000).

13732480 is an abundant number, since it is smaller than the sum of its proper divisors (19927520).

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

13732480 is an equidigital number, since it uses as much as digits as its factorization.

13732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 13732480 is about 3705.7360942193. The cubic root of 13732480 is about 239.4691972711.

The spelling of 13732480 in words is "thirteen million, seven hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 320 344 430 499 640 688 860 998 1376 1720 1996 2495 2752 3440 3992 4990 5504 6880 7984 9980 13760 15968 19960 21457 27520 31936 39920 42914 63872 79840 85828 107285 159680 171656 214570 319360 343312 429140 686624 858280 1373248 1716560 2746496 3433120 6866240 13732480