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14639940 = 2234571291
BaseRepresentation
bin110111110110…
…001101000100
31000112210020000
4313312031010
512221434230
61241441300
7235303020
oct67661504
930483200
1014639940
11829a227
124aa0230
1330577b3
141d31380
151442b60
hexdf6344

14639940 has 120 divisors (see below), whose sum is σ = 52527552. Its totient is φ = 3343680.

The previous prime is 14639929. The next prime is 14639951. The reversal of 14639940 is 4993641.

14639940 is a `hidden beast` number, since 14 + 639 + 9 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14639929) and next prime (14639951).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14639895 and 14639904.

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 39 ways as a sum of consecutive naturals, for example, 10695 + ... + 11985.

Almost surely, 214639940 is an apocalyptic number.

14639940 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 14639940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26263776).

14639940 is an abundant number, since it is smaller than the sum of its proper divisors (37887612).

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

14639940 is a wasteful number, since it uses less digits than its factorization.

14639940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 14639940 is about 3826.2174533082. The cubic root of 14639940 is about 244.6319059411.

The spelling of 14639940 in words is "fourteen million, six hundred thirty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1291 1620 1890 2268 2582 2835 3780 3873 5164 5670 6455 7746 9037 11340 11619 12910 15492 18074 19365 23238 25820 27111 34857 36148 38730 45185 46476 54222 58095 69714 77460 81333 90370 104571 108444 116190 135555 139428 162666 174285 180740 209142 232380 243999 271110 325332 348570 406665 418284 487998 522855 542220 697140 731997 813330 975996 1045710 1219995 1463994 1626660 2091420 2439990 2927988 3659985 4879980 7319970 14639940