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14575140 = 223552999
BaseRepresentation
bin110111100110…
…011000100100
31000102111100000
4313212120210
512212401030
61240221300
7234613056
oct67463044
930374300
1014575140
118255578
124a6a830
133034158
141d158d6
15142d860
hexde6624

14575140 has 72 divisors (see below), whose sum is σ = 45864000. Its totient is φ = 3885408.

The previous prime is 14575129. The next prime is 14575181. The reversal of 14575140 is 4157541.

It is a happy number.

14575140 is a `hidden beast` number, since 145 + 7 + 514 + 0 = 666.

14575140 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3361 + ... + 6359.

It is an arithmetic number, because the mean of its divisors is an integer number (637000).

Almost surely, 214575140 is an apocalyptic number.

14575140 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 14575140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932000).

14575140 is an abundant number, since it is smaller than the sum of its proper divisors (31288860).

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

14575140 is a wasteful number, since it uses less digits than its factorization.

14575140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 14575140 is about 3817.7401692624. The cubic root of 14575140 is about 244.2704383008.

The spelling of 14575140 in words is "fourteen million, five hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 2999 4860 5998 8997 11996 14995 17994 26991 29990 35988 44985 53982 59980 80973 89970 107964 134955 161946 179940 242919 269910 323892 404865 485838 539820 728757 809730 971676 1214595 1457514 1619460 2429190 2915028 3643785 4858380 7287570 14575140