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14640516 = 22321123361
BaseRepresentation
bin110111110110…
…010110000100
31000112211000100
4313312112010
512221444031
61241444100
7235304502
oct67662604
930484010
1014640516
11829a700
124aa0630
133057b37
141d31672
151442de6
hexdf6584

14640516 has 54 divisors (see below), whose sum is σ = 40690286. Its totient is φ = 4435200.

The previous prime is 14640503. The next prime is 14640529. The reversal of 14640516 is 61504641.

14640516 is a `hidden beast` number, since 1 + 4 + 640 + 5 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (14640503) and next prime (14640529).

It can be written as a sum of positive squares in only one way, i.e., 13660416 + 980100 = 3696^2 + 990^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14640516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2676 + ... + 6036.

Almost surely, 214640516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14640516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20345143).

14640516 is an abundant number, since it is smaller than the sum of its proper divisors (26049770).

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

14640516 is a wasteful number, since it uses less digits than its factorization.

14640516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14640516 is about 3826.2927227278. The cubic root of 14640516 is about 244.6351141995.

The spelling of 14640516 in words is "fourteen million, six hundred forty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 3361 4356 6722 10083 13444 20166 30249 36971 40332 60498 73942 110913 120996 147884 221826 332739 406681 443652 665478 813362 1220043 1330956 1626724 2440086 3660129 4880172 7320258 14640516