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13290480 = 243457293
BaseRepresentation
bin110010101100…
…101111110000
3221000020010000
4302230233300
511400243410
61152510000
7220652520
oct62545760
927006100
1013290480
117558375
12454b300
1329a44b8
141a9d680
151277dc0
hexcacbf0

13290480 has 200 divisors, whose sum is σ = 52934112. Its totient is φ = 3027456.

The previous prime is 13290467. The next prime is 13290491. The reversal of 13290480 is 8409231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 45214 + ... + 45506.

Almost surely, 213290480 is an apocalyptic number.

13290480 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 13290480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26467056).

13290480 is an abundant number, since it is smaller than the sum of its proper divisors (39643632).

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

13290480 is a wasteful number, since it uses less digits than its factorization.

13290480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13290480 is about 3645.6110598911. The cubic root of 13290480 is about 236.8719064255.

The spelling of 13290480 in words is "thirteen million, two hundred ninety thousand, four hundred eighty".