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13505296 = 247373259
BaseRepresentation
bin110011100001…
…001100010000
3221102010210011
4303201030100
511424132141
61201244304
7222536020
oct63411420
927363704
1013505296
117694802
124633694
132a4b1cc
141b17a80
1512bb881
hexce1310

13505296 has 40 divisors (see below), whose sum is σ = 30722240. Its totient is φ = 5629824.

The previous prime is 13505291. The next prime is 13505299. The reversal of 13505296 is 69250531.

It is not an unprimeable number, because it can be changed into a prime (13505291) 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, 2515 + ... + 5773.

It is an arithmetic number, because the mean of its divisors is an integer number (768056).

Almost surely, 213505296 is an apocalyptic number.

13505296 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 13505296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361120).

13505296 is an abundant number, since it is smaller than the sum of its proper divisors (17216944).

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

13505296 is a wasteful number, since it uses less digits than its factorization.

13505296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 13505296 is about 3674.9552378226. The cubic root of 13505296 is about 238.1412903022.

The spelling of 13505296 in words is "thirteen million, five hundred five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 3259 4144 6518 13036 22813 26072 45626 52144 91252 120583 182504 241166 365008 482332 844081 964664 1688162 1929328 3376324 6752648 13505296