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14399640 = 2333567199
BaseRepresentation
bin110110111011…
…100010011000
31000002120121000
4312323202120
512141242030
61232345000
7233252313
oct66734230
930076530
1014399640
118145732
1249a5160
132ca22c8
141cab97a
1513e6860
hexdbb898

14399640 has 128 divisors (see below), whose sum is σ = 48960000. Its totient is φ = 3763584.

The previous prime is 14399621. The next prime is 14399653. The reversal of 14399640 is 4699341.

14399640 is a `hidden beast` number, since 1 + 4 + 3 + 9 + 9 + 640 = 666.

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 = 14399595 and 14399604.

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 31 ways as a sum of consecutive naturals, for example, 72261 + ... + 72459.

It is an arithmetic number, because the mean of its divisors is an integer number (382500).

Almost surely, 214399640 is an apocalyptic number.

14399640 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 14399640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24480000).

14399640 is an abundant number, since it is smaller than the sum of its proper divisors (34560360).

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

14399640 is a wasteful number, since it uses less digits than its factorization.

14399640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

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

The square root of 14399640 is about 3794.6857577407. The cubic root of 14399640 is about 243.2860524054.

The spelling of 14399640 in words is "fourteen million, three hundred ninety-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 90 108 120 134 135 180 199 201 216 268 270 335 360 398 402 536 540 597 603 670 796 804 995 1005 1080 1194 1206 1340 1592 1608 1791 1809 1990 2010 2388 2412 2680 2985 3015 3582 3618 3980 4020 4776 4824 5373 5970 6030 7164 7236 7960 8040 8955 9045 10746 11940 12060 13333 14328 14472 17910 18090 21492 23880 24120 26666 26865 35820 36180 39999 42984 53332 53730 66665 71640 72360 79998 106664 107460 119997 133330 159996 199995 214920 239994 266660 319992 359991 399990 479988 533320 599985 719982 799980 959976 1199970 1439964 1599960 1799955 2399940 2879928 3599910 4799880 7199820 14399640