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13267104 = 2531131223
BaseRepresentation
bin110010100111…
…000010100000
3220222001001020
4302213002200
511344021404
61152205440
7220524414
oct62470240
926861036
1013267104
117541854
124539880
132996976
141a94d44
151270ed9
hexca70a0

13267104 has 48 divisors (see below), whose sum is σ = 35163072. Its totient is φ = 4379648.

The previous prime is 13267103. The next prime is 13267117. The reversal of 13267104 is 40176231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13267103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10237 + ... + 11459.

It is an arithmetic number, because the mean of its divisors is an integer number (732564).

Almost surely, 213267104 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 13267104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581536).

13267104 is an abundant number, since it is smaller than the sum of its proper divisors (21895968).

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

13267104 is a wasteful number, since it uses less digits than its factorization.

13267104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13267104 is about 3642.4036020189. The cubic root of 13267104 is about 236.7329506420.

The spelling of 13267104 in words is "thirteen million, two hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1223 1356 1808 2446 2712 3616 3669 4892 5424 7338 9784 10848 14676 19568 29352 39136 58704 117408 138199 276398 414597 552796 829194 1105592 1658388 2211184 3316776 4422368 6633552 13267104