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13933296 = 243413827
BaseRepresentation
bin110101001001…
…101011110000
3222012212220000
4311021223300
512031331141
61214350000
7226300566
oct65115360
928185800
1013933296
117957323
1247bb300
132b6ac70
141bc9a36
1513535b6
hexd49af0

13933296 has 100 divisors (see below), whose sum is σ = 43481592. Its totient is φ = 4281984.

The previous prime is 13933277. The next prime is 13933301. The reversal of 13933296 is 69233931.

It is a happy number.

13933296 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 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 13933296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16435 + ... + 17261.

Almost surely, 213933296 is an apocalyptic number.

13933296 is a gapful number since it is divisible by the number (16) 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 13933296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21740796).

13933296 is an abundant number, since it is smaller than the sum of its proper divisors (29548296).

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

13933296 is a wasteful number, since it uses less digits than its factorization.

13933296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 845 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 13933296 is about 3732.7330469778. The cubic root of 13933296 is about 240.6308403822.

The spelling of 13933296 in words is "thirteen million, nine hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 827 936 1053 1296 1404 1654 1872 2106 2481 2808 3308 4212 4962 5616 6616 7443 8424 9924 10751 13232 14886 16848 19848 21502 22329 29772 32253 39696 43004 44658 59544 64506 66987 86008 89316 96759 119088 129012 133974 172016 178632 193518 258024 267948 290277 357264 387036 516048 535896 580554 774072 870831 1071792 1161108 1548144 1741662 2322216 3483324 4644432 6966648 13933296