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13914972 = 22324389101
BaseRepresentation
bin110101000101…
…001101011100
3222011221202100
4311011031130
512030234342
61214125100
7226163301
oct65051534
928157670
1013914972
117944585
1247b0790
132b62816
141bc30a8
15134ce4c
hexd4535c

13914972 has 72 divisors (see below), whose sum is σ = 36756720. Its totient is φ = 4435200.

The previous prime is 13914937. The next prime is 13915003. The reversal of 13914972 is 27941931.

13914972 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 (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (13608) is a multiple of the sum of its prime factors (243).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137722 + ... + 137822.

It is an arithmetic number, because the mean of its divisors is an integer number (510510).

Almost surely, 213914972 is an apocalyptic number.

13914972 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 13914972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378360).

13914972 is an abundant number, since it is smaller than the sum of its proper divisors (22841748).

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

13914972 is a wasteful number, since it uses less digits than its factorization.

13914972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 238 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 13914972 is about 3730.2777376490. The cubic root of 13914972 is about 240.5253077103.

The spelling of 13914972 in words is "thirteen million, nine hundred fourteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 89 101 129 172 178 202 258 267 303 356 387 404 516 534 606 774 801 909 1068 1212 1548 1602 1818 3204 3636 3827 4343 7654 8686 8989 11481 13029 15308 17372 17978 22962 26058 26967 34443 35956 39087 45924 52116 53934 68886 78174 80901 107868 137772 156348 161802 323604 386527 773054 1159581 1546108 2319162 3478743 4638324 6957486 13914972