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15293985 = 3571131289
BaseRepresentation
bin111010010101…
…111000100001
31001210000101220
4322111320201
512403401420
61303445253
7243665610
oct72257041
931700356
1015293985
1186a6663
125156829
1332263c5
142061877
151521840
hexe95e21

15293985 has 32 divisors (see below), whose sum is σ = 28235520. Its totient is φ = 6924288.

The previous prime is 15293983. The next prime is 15293989. The reversal of 15293985 is 58939251.

15293985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 15293985 - 21 = 15293983 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (15293983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11221 + ... + 12509.

It is an arithmetic number, because the mean of its divisors is an integer number (882360).

Almost surely, 215293985 is an apocalyptic number.

15293985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15293985 is a deficient number, since it is larger than the sum of its proper divisors (12941535).

15293985 is a wasteful number, since it uses less digits than its factorization.

15293985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417.

The product of its digits is 97200, while the sum is 42.

The square root of 15293985 is about 3910.7524851363. The cubic root of 15293985 is about 248.2219710984.

The spelling of 15293985 in words is "fifteen million, two hundred ninety-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 105 113 339 565 791 1289 1695 2373 3867 3955 6445 9023 11865 19335 27069 45115 135345 145657 436971 728285 1019599 2184855 3058797 5097995 15293985