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13367296 = 21161107
BaseRepresentation
bin110010111111…
…100000000000
3221011010111001
4302333200000
511410223141
61154301344
7221422465
oct62774000
927133431
1013367296
117600058
124587854
132a00457
141abd66c
151290a31
hexcbf800

13367296 has 48 divisors (see below), whose sum is σ = 27420120. Its totient is φ = 6512640.

The previous prime is 13367267. The next prime is 13367311. The reversal of 13367296 is 69276331.

13367296 is nontrivially palindromic in base 12.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124875 + ... + 124981.

Almost surely, 213367296 is an apocalyptic number.

13367296 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 13367296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710060).

13367296 is an abundant number, since it is smaller than the sum of its proper divisors (14052824).

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

13367296 is an equidigital number, since it uses as much as digits as its factorization.

13367296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its digits is 40824, while the sum is 37.

The square root of 13367296 is about 3656.1312886711. The cubic root of 13367296 is about 237.3273855626.

The spelling of 13367296 in words is "thirteen million, three hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 107 122 128 214 244 256 428 488 512 856 976 1024 1712 1952 2048 3424 3904 6527 6848 7808 13054 13696 15616 26108 27392 31232 52216 54784 62464 104432 109568 124928 208864 219136 417728 835456 1670912 3341824 6683648 13367296