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13299104 = 257134567
BaseRepresentation
bin110010101110…
…110110100000
3221000122221102
4302232312200
511401032404
61153013532
7221016620
oct62566640
927018842
1013299104
1175638a5
1245542a8
1329a83c0
141aa2880
15127a71e
hexcaeda0

13299104 has 48 divisors (see below), whose sum is σ = 32231808. Its totient is φ = 5260032.

The previous prime is 13299089. The next prime is 13299109. The reversal of 13299104 is 40199231.

It is a happy number.

13299104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13299109) 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, 629 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (671496).

Almost surely, 213299104 is an apocalyptic number.

13299104 is a gapful number since it is divisible by the number (14) 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 13299104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115904).

13299104 is an abundant number, since it is smaller than the sum of its proper divisors (18932704).

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

13299104 is a wasteful number, since it uses less digits than its factorization.

13299104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 13299104 is about 3646.7936601897. The cubic root of 13299104 is about 236.9231295977.

The spelling of 13299104 in words is "thirteen million, two hundred ninety-nine thousand, one hundred four".

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 4567 9134 18268 31969 36536 59371 63938 73072 118742 127876 146144 237484 255752 415597 474968 511504 831194 949936 1023008 1662388 1899872 3324776 6649552 13299104