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14739840 = 27335853
BaseRepresentation
bin111000001110…
…100110000000
31000201212021000
4320032212000
512233133330
61243532000
7236200203
oct70164600
930655230
1014739840
118358295
124b2a000
1330910cb
141d5993a
151462560
hexe0e980

14739840 has 128 divisors (see below), whose sum is σ = 52264800. Its totient is φ = 3926016.

The previous prime is 14739817. The next prime is 14739863. The reversal of 14739840 is 4893741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14739817) and next prime (14739863).

It is a tau number, because it is divible by the number of its divisors (128).

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 = 14739795 and 14739804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16854 + ... + 17706.

Almost surely, 214739840 is an apocalyptic number.

14739840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14739840 is the 1920-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26132400).

14739840 is an abundant number, since it is smaller than the sum of its proper divisors (37524960).

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

14739840 is an equidigital number, since it uses as much as digits as its factorization.

14739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 14739840 is about 3839.2499267435. The cubic root of 14739840 is about 245.1870846479.

The spelling of 14739840 in words is "fourteen million, seven hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 853 864 960 1080 1152 1440 1706 1728 1920 2160 2559 2880 3412 3456 4265 4320 5118 5760 6824 7677 8530 8640 10236 12795 13648 15354 17060 17280 20472 23031 25590 27296 30708 34120 38385 40944 46062 51180 54592 61416 68240 76770 81888 92124 102360 109184 115155 122832 136480 153540 163776 184248 204720 230310 245664 272960 307080 327552 368496 409440 460620 491328 545920 614160 736992 818880 921240 982656 1228320 1473984 1637760 1842480 2456640 2947968 3684960 4913280 7369920 14739840