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13816296 = 23321329509
BaseRepresentation
bin110100101101…
…000111101000
3221222221101200
4310231013220
512014110141
61212044200
7225302514
oct64550750
927887350
1013816296
11788742a
124763660
132b29930
141b99144
15132dab6
hexd2d1e8

13816296 has 96 divisors (see below), whose sum is σ = 41769000. Its totient is φ = 4096512.

The previous prime is 13816279. The next prime is 13816333. The reversal of 13816296 is 69261831.

13816296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11655396 + 2160900 = 3414^2 + 1470^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13816296.

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, 26890 + ... + 27398.

Almost surely, 213816296 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 13816296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20884500).

13816296 is an abundant number, since it is smaller than the sum of its proper divisors (27952704).

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

13816296 is a wasteful number, since it uses less digits than its factorization.

13816296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13816296 is about 3717.0278449320. The cubic root of 13816296 is about 239.9554083821.

The spelling of 13816296 in words is "thirteen million, eight hundred sixteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 509 522 696 754 936 1018 1044 1131 1508 1527 2036 2088 2262 3016 3054 3393 4072 4524 4581 6108 6617 6786 9048 9162 12216 13234 13572 14761 18324 19851 26468 27144 29522 36648 39702 44283 52936 59044 59553 79404 88566 118088 119106 132849 158808 177132 191893 238212 265698 354264 383786 476424 531396 575679 767572 1062792 1151358 1535144 1727037 2302716 3454074 4605432 6908148 13816296