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13398696 = 2334232931
BaseRepresentation
bin110011000111…
…001010101000
3221012201120000
4303013022220
511412224241
61155103000
7221613153
oct63071250
927181500
1013398696
117621703
1245a1a60
132a1182c
141acac9a
151299eb6
hexcc72a8

13398696 has 160 divisors (see below), whose sum is σ = 41817600. Its totient is φ = 3991680.

The previous prime is 13398691. The next prime is 13398709. The reversal of 13398696 is 69689331.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13398691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 432201 + ... + 432231.

It is an arithmetic number, because the mean of its divisors is an integer number (261360).

Almost surely, 213398696 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 13398696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908800).

13398696 is an abundant number, since it is smaller than the sum of its proper divisors (28418904).

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

13398696 is a wasteful number, since it uses less digits than its factorization.

13398696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 13398696 is about 3660.4229263843. The cubic root of 13398696 is about 237.5130689023.

The spelling of 13398696 in words is "thirteen million, three hundred ninety-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 29 31 36 46 54 58 62 69 72 81 87 92 93 108 116 124 138 162 174 184 186 207 216 232 248 261 276 279 324 348 372 414 522 552 558 621 648 667 696 713 744 783 828 837 899 1044 1116 1242 1334 1426 1566 1656 1674 1798 1863 2001 2088 2139 2232 2349 2484 2511 2668 2697 2852 3132 3348 3596 3726 4002 4278 4698 4968 5022 5336 5394 5704 6003 6264 6417 6696 7192 7452 8004 8091 8556 9396 10044 10788 12006 12834 14904 16008 16182 17112 18009 18792 19251 20088 20677 21576 24012 24273 25668 32364 36018 38502 41354 48024 48546 51336 54027 57753 62031 64728 72036 72819 77004 82708 97092 108054 115506 124062 144072 145638 154008 165416 186093 194184 216108 231012 248124 291276 372186 432216 462024 496248 558279 582552 744372 1116558 1488744 1674837 2233116 3349674 4466232 6699348 13398696