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14880132 = 2233294751
BaseRepresentation
bin111000110000…
…110110000100
31000222222201000
4320300312010
512302131012
61250533300
7240323211
oct70606604
930888630
1014880132
118443733
124b97230
13310cc17
141d94b08
15148dddc
hexe30d84

14880132 has 48 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 4788000.

The previous prime is 14880119. The next prime is 14880137. The reversal of 14880132 is 23108841.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14880096 and 14880105.

It is not an unprimeable number, because it can be changed into a prime (14880137) 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, 757 + ... + 5507.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 214880132 is an apocalyptic number.

14880132 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 14880132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

14880132 is an abundant number, since it is smaller than the sum of its proper divisors (25036668).

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

14880132 is a wasteful number, since it uses less digits than its factorization.

14880132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 14880132 is about 3857.4774140622. The cubic root of 14880132 is about 245.9625165970.

Adding to 14880132 its reverse (23108841), we get a palindrome (37988973).

The spelling of 14880132 in words is "fourteen million, eight hundred eighty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 4751 9502 14253 19004 28506 42759 57012 85518 128277 137779 171036 256554 275558 413337 513108 551116 826674 1240011 1653348 2480022 3720033 4960044 7440066 14880132