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14875140 = 22357107331
BaseRepresentation
bin111000101111…
…101000000100
31000222201212010
4320233220010
512302001030
61250454220
7240302520
oct70575004
930881763
1014875140
11843aa05
124b94370
13310a877
141d92d80
15148c6b0
hexe2fa04

14875140 has 96 divisors (see below), whose sum is σ = 48190464. Its totient is φ = 3358080.

The previous prime is 14875127. The next prime is 14875163. The reversal of 14875140 is 4157841.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14875098 and 14875107.

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 31 ways as a sum of consecutive naturals, for example, 44775 + ... + 45105.

It is an arithmetic number, because the mean of its divisors is an integer number (501984).

Almost surely, 214875140 is an apocalyptic number.

14875140 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 14875140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24095232).

14875140 is an abundant number, since it is smaller than the sum of its proper divisors (33315324).

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

14875140 is a wasteful number, since it uses less digits than its factorization.

14875140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 14875140 is about 3856.8303047969. The cubic root of 14875140 is about 245.9350082789.

The spelling of 14875140 in words is "fourteen million, eight hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 107 140 210 214 321 331 420 428 535 642 662 749 993 1070 1284 1324 1498 1605 1655 1986 2140 2247 2317 2996 3210 3310 3745 3972 4494 4634 4965 6420 6620 6951 7490 8988 9268 9930 11235 11585 13902 14980 19860 22470 23170 27804 34755 35417 44940 46340 69510 70834 106251 139020 141668 177085 212502 247919 354170 425004 495838 531255 708340 743757 991676 1062510 1239595 1487514 2125020 2479190 2975028 3718785 4958380 7437570 14875140