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14640660 = 22325163499
BaseRepresentation
bin110111110110…
…011000010100
31000112211012200
4313312120110
512222000120
61241444500
7235305066
oct67663024
930484180
1014640660
11829a821
124aa0730
133057c18
141d31736
151442e90
hexdf6614

14640660 has 72 divisors (see below), whose sum is σ = 44772000. Its totient is φ = 3872448.

The previous prime is 14640653. The next prime is 14640677. The reversal of 14640660 is 6604641.

14640660 is a `hidden beast` number, since 14 + 640 + 6 + 6 + 0 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 29091 + ... + 29589.

Almost surely, 214640660 is an apocalyptic number.

14640660 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 14640660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22386000).

14640660 is an abundant number, since it is smaller than the sum of its proper divisors (30131340).

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

14640660 is a wasteful number, since it uses less digits than its factorization.

14640660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 14640660 is about 3826.3115398514. The cubic root of 14640660 is about 244.6359162509.

The spelling of 14640660 in words is "fourteen million, six hundred forty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 499 652 815 978 998 1467 1497 1630 1956 1996 2445 2495 2934 2994 3260 4491 4890 4990 5868 5988 7335 7485 8982 9780 9980 14670 14970 17964 22455 29340 29940 44910 81337 89820 162674 244011 325348 406685 488022 732033 813370 976044 1220055 1464066 1626740 2440110 2928132 3660165 4880220 7320330 14640660