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13704936 = 233729297
BaseRepresentation
bin110100010001…
…111011101000
3221210021122020
4310101323220
512002024221
61205424440
7224330040
oct64217350
927707566
1013704936
1178107a3
12470b120
132abb03b
141b6a720
15130aac6
hexd11ee8

13704936 has 96 divisors (see below), whose sum is σ = 40971840. Its totient is φ = 3741696.

The previous prime is 13704923. The next prime is 13704949. The reversal of 13704936 is 63940731.

13704936 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13704923) and next prime (13704949).

It is a super-3 number, since 3×137049363 (a number of 22 digits) contains 333 as substring.

13704936 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13704897 and 13704906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141240 + ... + 141336.

It is an arithmetic number, because the mean of its divisors is an integer number (426790).

Almost surely, 213704936 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 13704936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20485920).

13704936 is an abundant number, since it is smaller than the sum of its proper divisors (27266904).

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

13704936 is a wasteful number, since it uses less digits than its factorization.

13704936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 13704936 is about 3702.0178281580. The cubic root of 13704936 is about 239.3089845385.

The spelling of 13704936 in words is "thirteen million, seven hundred four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 97 116 168 174 194 203 232 291 348 388 406 582 609 679 696 776 812 841 1164 1218 1358 1624 1682 2037 2328 2436 2523 2716 2813 3364 4074 4872 5046 5432 5626 5887 6728 8148 8439 10092 11252 11774 16296 16878 17661 19691 20184 22504 23548 33756 35322 39382 47096 59073 67512 70644 78764 81577 118146 141288 157528 163154 236292 244731 326308 472584 489462 571039 652616 978924 1142078 1713117 1957848 2284156 3426234 4568312 6852468 13704936