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13429696 = 26731967
BaseRepresentation
bin110011001110…
…101111000000
3221021022002011
4303032233000
511414222241
61155502304
7222102430
oct63165700
927238064
1013429696
117642a25
1245b7994
132a22987
141ad82c0
1512a4281
hexccebc0

13429696 has 56 divisors (see below), whose sum is σ = 31471616. Its totient is φ = 5564160.

The previous prime is 13429693. The next prime is 13429709. The reversal of 13429696 is 69692431.

13429696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13429693) 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, 13405 + ... + 14371.

Almost surely, 213429696 is an apocalyptic number.

13429696 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 13429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15735808).

13429696 is an abundant number, since it is smaller than the sum of its proper divisors (18041920).

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

13429696 is an equidigital number, since it uses as much as digits as its factorization.

13429696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1007 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The square root of 13429696 is about 3664.6549632946. The cubic root of 13429696 is about 237.6961024853.

The spelling of 13429696 in words is "thirteen million, four hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 967 992 1736 1934 1984 3472 3868 6769 6944 7736 13538 13888 15472 27076 29977 30944 54152 59954 61888 108304 119908 209839 216608 239816 419678 433216 479632 839356 959264 1678712 1918528 3357424 6714848 13429696