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13429960 = 2351941431
BaseRepresentation
bin110011001110…
…110011001000
3221021022102221
4303032303020
511414224320
61155503424
7222103255
oct63166310
927238387
1013429960
117643145
1245b7b74
132a22b2b
141ad842c
1512a43aa
hexccecc8

13429960 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 4953600.

The previous prime is 13429931. The next prime is 13429961. The reversal of 13429960 is 6992431.

13429960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13429961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30945 + ... + 31375.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 213429960 is an apocalyptic number.

13429960 is a gapful number since it is divisible by the number (10) 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 13429960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

13429960 is an abundant number, since it is smaller than the sum of its proper divisors (19229240).

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

13429960 is a wasteful number, since it uses less digits than its factorization.

13429960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 13429960 is about 3664.6909828797. The cubic root of 13429960 is about 237.6976600127.

The spelling of 13429960 in words is "thirteen million, four hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 410 431 760 779 820 862 1558 1640 1724 2155 3116 3448 3895 4310 6232 7790 8189 8620 15580 16378 17240 17671 31160 32756 35342 40945 65512 70684 81890 88355 141368 163780 176710 327560 335749 353420 671498 706840 1342996 1678745 2685992 3357490 6714980 13429960