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13345696 = 257134583
BaseRepresentation
bin110010111010…
…001110100000
3221010000212001
4302322032200
511404030241
61154013344
7221302510
oct62721640
927100761
1013345696
117595901
124577254
1329c3680
141ab5840
151289431
hexcba3a0

13345696 has 48 divisors (see below), whose sum is σ = 32344704. Its totient is φ = 5278464.

The previous prime is 13345687. The next prime is 13345721. The reversal of 13345696 is 69654331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621 + ... + 5203.

It is an arithmetic number, because the mean of its divisors is an integer number (673848).

Almost surely, 213345696 is an apocalyptic number.

13345696 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 13345696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16172352).

13345696 is an abundant number, since it is smaller than the sum of its proper divisors (18999008).

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

13345696 is a wasteful number, since it uses less digits than its factorization.

13345696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4605 counting only the distinct ones).

The product of its digits is 58320, while the sum is 37.

The square root of 13345696 is about 3653.1761523365. The cubic root of 13345696 is about 237.1994854707.

It can be divided in two parts, 13345 and 696, that added together give a palindrome (14041).

The spelling of 13345696 in words is "thirteen million, three hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 4583 9166 18332 32081 36664 59579 64162 73328 119158 128324 146656 238316 256648 417053 476632 513296 834106 953264 1026592 1668212 1906528 3336424 6672848 13345696