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13478880 = 253528081
BaseRepresentation
bin110011011010…
…101111100000
3221100210112210
4303122233200
511422311010
61200522120
7222366012
oct63325740
927323483
1013478880
117676978
124620340
132a3c18c
141b0c1b2
1512b3b20
hexcdabe0

13478880 has 48 divisors (see below), whose sum is σ = 42459984. Its totient is φ = 3594240.

The previous prime is 13478869. The next prime is 13478887. The reversal of 13478880 is 8887431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13478887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13561 + ... + 14520.

It is an arithmetic number, because the mean of its divisors is an integer number (884583).

Almost surely, 213478880 is an apocalyptic number.

13478880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13478880 is an abundant number, since it is smaller than the sum of its proper divisors (28981104).

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

13478880 is a wasteful number, since it uses less digits than its factorization.

13478880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28099 (or 28091 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 13478880 is about 3671.3594212498. The cubic root of 13478880 is about 237.9859229487.

The spelling of 13478880 in words is "thirteen million, four hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 28081 56162 84243 112324 140405 168486 224648 280810 336972 421215 449296 561620 673944 842430 898592 1123240 1347888 1684860 2246480 2695776 3369720 4492960 6739440 13478880