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14875920 = 243357197
BaseRepresentation
bin111000101111…
…110100010000
31000222202221000
4320233310100
512302012140
61250502000
7240305013
oct70576420
930882830
1014875920
118440554
124b94900
13310b027
141d9337a
15148ca30
hexe2fd10

14875920 has 160 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 3870720.

The previous prime is 14875909. The next prime is 14875997. The reversal of 14875920 is 2957841.

14875920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153312 + ... + 153408.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 214875920 is an apocalyptic number.

14875920 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 14875920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

14875920 is an abundant number, since it is smaller than the sum of its proper divisors (37620720).

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

14875920 is a wasteful number, since it uses less digits than its factorization.

14875920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 14875920 is about 3856.9314227764. The cubic root of 14875920 is about 245.9393068593.

The spelling of 14875920 in words is "fourteen million, eight hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 71 72 80 90 97 108 120 135 142 144 180 194 213 216 240 270 284 291 355 360 388 426 432 485 540 568 582 639 710 720 776 852 873 970 1065 1080 1136 1164 1278 1420 1455 1552 1704 1746 1917 1940 2130 2160 2328 2556 2619 2840 2910 3195 3408 3492 3834 3880 4260 4365 4656 5112 5238 5680 5820 6390 6887 6984 7668 7760 8520 8730 9585 10224 10476 11640 12780 13095 13774 13968 15336 17040 17460 19170 20661 20952 23280 25560 26190 27548 30672 34435 34920 38340 41322 41904 51120 52380 55096 61983 68870 69840 76680 82644 103305 104760 110192 123966 137740 153360 165288 185949 206610 209520 247932 275480 309915 330576 371898 413220 495864 550960 619830 743796 826440 929745 991728 1239660 1487592 1652880 1859490 2479320 2975184 3718980 4958640 7437960 14875920