Search a number
-
+
13667104 = 251141947
BaseRepresentation
bin110100001000…
…101100100000
3221201100202001
4310020230200
511444321404
61204533344
7224111533
oct64105440
927640661
1013667104
117795330
1246b1254
132aa6a59
141b5aa1a
1512ee7a4
hexd08b20

13667104 has 48 divisors (see below), whose sum is σ = 30100896. Its totient is φ = 6054400.

The previous prime is 13667089. The next prime is 13667117. The reversal of 13667104 is 40176631.

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, 13959 + ... + 14905.

It is an arithmetic number, because the mean of its divisors is an integer number (627102).

Almost surely, 213667104 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 13667104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050448).

13667104 is an abundant number, since it is smaller than the sum of its proper divisors (16433792).

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

13667104 is a wasteful number, since it uses less digits than its factorization.

13667104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 13667104 is about 3696.9046511913. The cubic root of 13667104 is about 239.0885802267.

The spelling of 13667104 in words is "thirteen million, six hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 947 1312 1804 1894 3608 3788 7216 7576 10417 14432 15152 20834 30304 38827 41668 77654 83336 155308 166672 310616 333344 427097 621232 854194 1242464 1708388 3416776 6833552 13667104