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14134752 = 2532172887
BaseRepresentation
bin110101111010…
…110111100000
3222121010020100
4311322313200
512104303002
61222542400
7231100122
oct65726740
928533210
1014134752
117a84715
124897a00
132c0b878
141c3d212
15139311c
hexd7ade0

14134752 has 72 divisors (see below), whose sum is σ = 42574896. Its totient is φ = 4432896.

The previous prime is 14134739. The next prime is 14134753. The reversal of 14134752 is 25743141.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3453 + ... + 6339.

It is an arithmetic number, because the mean of its divisors is an integer number (591318).

Almost surely, 214134752 is an apocalyptic number.

14134752 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 14134752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21287448).

14134752 is an abundant number, since it is smaller than the sum of its proper divisors (28440144).

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

14134752 is a wasteful number, since it uses less digits than its factorization.

14134752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2909 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 14134752 is about 3759.6212575205. The cubic root of 14134752 is about 241.7850241224.

Adding to 14134752 its reverse (25743141), we get a palindrome (39877893).

The spelling of 14134752 in words is "fourteen million, one hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 2887 4896 5774 8661 11548 17322 23096 25983 34644 46192 49079 51966 69288 92384 98158 103932 138576 147237 196316 207864 277152 294474 392632 415728 441711 588948 785264 831456 883422 1177896 1570528 1766844 2355792 3533688 4711584 7067376 14134752