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14531640 = 2335831459
BaseRepresentation
bin110111011011…
…110000111000
31000100021122220
4313123300320
512210003030
61235244040
7234342204
oct67336070
930307586
1014531640
118225922
124a49620
13301a406
141d03b04
151420a10
hexddbc38

14531640 has 64 divisors (see below), whose sum is σ = 44150400. Its totient is φ = 3825792.

The previous prime is 14531633. The next prime is 14531659. The reversal of 14531640 is 4613541.

It is a super-2 number, since 2×145316402 = 422337122179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14531640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9231 + ... + 10689.

It is an arithmetic number, because the mean of its divisors is an integer number (689850).

Almost surely, 214531640 is an apocalyptic number.

14531640 is a gapful number since it is divisible by the number (10) 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 14531640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22075200).

14531640 is an abundant number, since it is smaller than the sum of its proper divisors (29618760).

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

14531640 is a wasteful number, since it uses less digits than its factorization.

14531640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 14531640 is about 3812.0388245662. The cubic root of 14531640 is about 244.0271850030.

The spelling of 14531640 in words is "fourteen million, five hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1459 1660 1992 2490 2918 3320 4377 4980 5836 7295 8754 9960 11672 14590 17508 21885 29180 35016 43770 58360 87540 121097 175080 242194 363291 484388 605485 726582 968776 1210970 1453164 1816455 2421940 2906328 3632910 4843880 7265820 14531640