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13429504 = 281119251
BaseRepresentation
bin110011001110…
…101100000000
3221021021211001
4303032230000
511414221004
61155501344
7222102034
oct63165400
927237731
1013429504
117642870
1245b7854
132a2286a
141ad81c4
1512a41a4
hexcceb00

13429504 has 72 divisors (see below), whose sum is σ = 30905280. Its totient is φ = 5760000.

The previous prime is 13429499. The next prime is 13429513. The reversal of 13429504 is 40592431.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53379 + ... + 53629.

It is an arithmetic number, because the mean of its divisors is an integer number (429240).

Almost surely, 213429504 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 13429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452640).

13429504 is an abundant number, since it is smaller than the sum of its proper divisors (17475776).

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

13429504 is a wasteful number, since it uses less digits than its factorization.

13429504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 13429504 is about 3664.6287670104. The cubic root of 13429504 is about 237.6949697252.

The spelling of 13429504 in words is "thirteen million, four hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 251 256 304 352 418 502 608 704 836 1004 1216 1408 1672 2008 2432 2761 2816 3344 4016 4769 4864 5522 6688 8032 9538 11044 13376 16064 19076 22088 26752 32128 38152 44176 52459 53504 64256 76304 88352 104918 152608 176704 209836 305216 353408 419672 610432 706816 839344 1220864 1678688 3357376 6714752 13429504