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13709904 = 24313127173
BaseRepresentation
bin110100010011…
…001001010000
3221210112110020
4310103021100
512002204104
61205503440
7224350365
oct64231120
927715406
1013709904
1178144aa
124711b80
132ac0390
141b6c46c
15130c2d9
hexd13250

13709904 has 80 divisors (see below), whose sum is σ = 38664192. Its totient is φ = 4161024.

The previous prime is 13709903. The next prime is 13709921. The reversal of 13709904 is 40990731.

It is a super-2 number, since 2×137099042 = 375922935378432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13709903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79162 + ... + 79334.

Almost surely, 213709904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13709904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19332096).

13709904 is an abundant number, since it is smaller than the sum of its proper divisors (24954288).

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

13709904 is a wasteful number, since it uses less digits than its factorization.

13709904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 13709904 is about 3702.6887527849. The cubic root of 13709904 is about 239.3378973188.

The spelling of 13709904 in words is "thirteen million, seven hundred nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 173 208 254 312 346 381 508 519 624 692 762 1016 1038 1384 1524 1651 2032 2076 2249 2768 3048 3302 4152 4498 4953 6096 6604 6747 8304 8996 9906 13208 13494 17992 19812 21971 26416 26988 35984 39624 43942 53976 65913 79248 87884 107952 131826 175768 263652 285623 351536 527304 571246 856869 1054608 1142492 1713738 2284984 3427476 4569968 6854952 13709904