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14307132 = 22371743233
BaseRepresentation
bin110110100100…
…111100111100
3222220212200210
4312210330330
512130312012
61230352420
7232415520
oct66447474
928825623
1014307132
118092184
12495b710
132c6c178
141c85d80
1513c923c
hexda4f3c

14307132 has 96 divisors (see below), whose sum is σ = 41513472. Its totient is φ = 3741696.

The previous prime is 14307119. The next prime is 14307143. The reversal of 14307132 is 23170341.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 14307099 and 14307108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61288 + ... + 61520.

It is an arithmetic number, because the mean of its divisors is an integer number (432432).

Almost surely, 214307132 is an apocalyptic number.

14307132 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 14307132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736).

14307132 is an abundant number, since it is smaller than the sum of its proper divisors (27206340).

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

14307132 is a wasteful number, since it uses less digits than its factorization.

14307132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 14307132 is about 3782.4769662220. The cubic root of 14307132 is about 242.7639496771.

Adding to 14307132 its reverse (23170341), we get a palindrome (37477473).

The spelling of 14307132 in words is "fourteen million, three hundred seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 43 51 68 84 86 102 119 129 172 204 233 238 258 301 357 466 476 516 602 699 714 731 903 932 1204 1398 1428 1462 1631 1806 2193 2796 2924 3262 3612 3961 4386 4893 5117 6524 7922 8772 9786 10019 10234 11883 15351 15844 19572 20038 20468 23766 27727 30057 30702 40076 47532 55454 60114 61404 70133 83181 110908 120228 140266 166362 170323 210399 280532 332724 340646 420798 510969 681292 841596 1021938 1192261 2043876 2384522 3576783 4769044 7153566 14307132