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14868720 = 24325107193
BaseRepresentation
bin111000101110…
…000011110000
31000222102001100
4320232003300
512301244340
61250404400
7240245016
oct70560360
930872040
1014868720
1184360a9
124b90700
133107979
141d908b6
15148a830
hexe2e0f0

14868720 has 120 divisors (see below), whose sum is σ = 50661936. Its totient is φ = 3907584.

The previous prime is 14868719. The next prime is 14868731. The reversal of 14868720 is 2786841.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76944 + ... + 77136.

Almost surely, 214868720 is an apocalyptic number.

14868720 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 14868720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25330968).

14868720 is an abundant number, since it is smaller than the sum of its proper divisors (35793216).

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

14868720 is a wasteful number, since it uses less digits than its factorization.

14868720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 14868720 is about 3855.9979253106. The cubic root of 14868720 is about 245.8996219463.

The spelling of 14868720 in words is "fourteen million, eight hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 107 120 144 180 193 214 240 321 360 386 428 535 579 642 720 772 856 963 965 1070 1158 1284 1544 1605 1712 1737 1926 1930 2140 2316 2568 2895 3088 3210 3474 3852 3860 4280 4632 4815 5136 5790 6420 6948 7704 7720 8560 8685 9264 9630 11580 12840 13896 15408 15440 17370 19260 20651 23160 25680 27792 34740 38520 41302 46320 61953 69480 77040 82604 103255 123906 138960 165208 185859 206510 247812 309765 330416 371718 413020 495624 619530 743436 826040 929295 991248 1239060 1486872 1652080 1858590 2478120 2973744 3717180 4956240 7434360 14868720