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14289132 = 22311213757
BaseRepresentation
bin110110100000…
…100011101100
3222212222000010
4312200203230
512124223012
61230133220
7232312164
oct66404354
928788003
1014289132
11807a700
124951210
132c63c10
141c7d5a4
1513c3c3c
hexda08ec

14289132 has 72 divisors (see below), whose sum is σ = 39519088. Its totient is φ = 3991680.

The previous prime is 14289127. The next prime is 14289133. The reversal of 14289132 is 23198241.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14289132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14289133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18498 + ... + 19254.

Almost surely, 214289132 is an apocalyptic number.

14289132 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 14289132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19759544).

14289132 is an abundant number, since it is smaller than the sum of its proper divisors (25229956).

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

14289132 is a wasteful number, since it uses less digits than its factorization.

14289132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 786 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 14289132 is about 3780.0968241568. The cubic root of 14289132 is about 242.6620987279.

The spelling of 14289132 in words is "fourteen million, two hundred eighty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 757 858 1452 1514 1573 1716 2271 3028 3146 4542 4719 6292 8327 9084 9438 9841 16654 18876 19682 24981 29523 33308 39364 49962 59046 91597 99924 108251 118092 183194 216502 274791 324753 366388 433004 549582 649506 1099164 1190761 1299012 2381522 3572283 4763044 7144566 14289132