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13952172 = 22313175261
BaseRepresentation
bin110101001110…
…010010101100
3222020211210010
4311032102230
512032432142
61215013220
7226406613
oct65162254
928224703
1013952172
11796a523
12480a210
132b76730
141bd287a
151358e9c
hexd4e4ac

13952172 has 48 divisors (see below), whose sum is σ = 37128672. Its totient is φ = 4039680.

The previous prime is 13952171. The next prime is 13952179. The reversal of 13952172 is 27125931.

13952172 is digitally balanced in base 2 and base 4, because in such bases 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 (13952171) 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, 22 + ... + 5282.

It is an arithmetic number, because the mean of its divisors is an integer number (773514).

Almost surely, 213952172 is an apocalyptic number.

13952172 is a gapful number since it is divisible by the number (12) 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 13952172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564336).

13952172 is an abundant number, since it is smaller than the sum of its proper divisors (23176500).

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

13952172 is a wasteful number, since it uses less digits than its factorization.

13952172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5296 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 13952172 is about 3735.2606334766. The cubic root of 13952172 is about 240.7394554613.

The spelling of 13952172 in words is "thirteen million, nine hundred fifty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 5261 10522 15783 21044 31566 63132 68393 89437 136786 178874 205179 268311 273572 357748 410358 536622 820716 1073244 1162681 2325362 3488043 4650724 6976086 13952172