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14663640 = 2335891373
BaseRepresentation
bin110111111011…
…111111011000
31000120222201210
4313323333120
512223214030
61242143120
7235432065
oct67737730
930528653
1014663640
118306012
124ab1aa0
133065514
141d39c6c
151449bb0
hexdfbfd8

14663640 has 64 divisors (see below), whose sum is σ = 44517600. Its totient is φ = 3863552.

The previous prime is 14663629. The next prime is 14663641. The reversal of 14663640 is 4636641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14663598 and 14663607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14663641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9994 + ... + 11366.

Almost surely, 214663640 is an apocalyptic number.

14663640 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 14663640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22258800).

14663640 is an abundant number, since it is smaller than the sum of its proper divisors (29853960).

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

14663640 is a wasteful number, since it uses less digits than its factorization.

14663640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 14663640 is about 3829.3132543578. The cubic root of 14663640 is about 244.7638429661.

The spelling of 14663640 in words is "fourteen million, six hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1373 1780 2136 2670 2746 3560 4119 5340 5492 6865 8238 10680 10984 13730 16476 20595 27460 32952 41190 54920 82380 122197 164760 244394 366591 488788 610985 733182 977576 1221970 1466364 1832955 2443940 2932728 3665910 4887880 7331820 14663640