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13229680 = 245612711
BaseRepresentation
bin110010011101…
…111001110000
3220220010201011
4302131321300
511341322210
61151320304
7220310332
oct62357160
926803634
1013229680
117516722
124520094
132982919
141a85452
151264d8a
hexc9de70

13229680 has 40 divisors (see below), whose sum is σ = 31274784. Its totient is φ = 5203200.

The previous prime is 13229663. The next prime is 13229707. The reversal of 13229680 is 8692231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 3525 + ... + 6235.

Almost surely, 213229680 is an apocalyptic number.

13229680 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 13229680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637392).

13229680 is an abundant number, since it is smaller than the sum of its proper divisors (18045104).

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

13229680 is a wasteful number, since it uses less digits than its factorization.

13229680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 13229680 is about 3637.2627070367. The cubic root of 13229680 is about 236.5101480031.

The spelling of 13229680 in words is "thirteen million, two hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 2711 4880 5422 10844 13555 21688 27110 43376 54220 108440 165371 216880 330742 661484 826855 1322968 1653710 2645936 3307420 6614840 13229680