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14983965 = 325433769
BaseRepresentation
bin111001001010…
…001100011101
31001012021010200
4321022030131
512313441330
61253054113
7241235013
oct71121435
931167120
1014983965
118504747
125027339
133148269
141dc08b3
1514aea60
hexe4a31d

14983965 has 24 divisors (see below), whose sum is σ = 26066040. Its totient is φ = 7962624.

The previous prime is 14983963. The next prime is 14983973. The reversal of 14983965 is 56938941.

It is a happy number.

14983965 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30276 + 14953689 = 174^2 + 3867^2 .

It is not a de Polignac number, because 14983965 - 21 = 14983963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14983965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14983963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19101 + ... + 19869.

It is an arithmetic number, because the mean of its divisors is an integer number (1086085).

Almost surely, 214983965 is an apocalyptic number.

14983965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14983965 is a deficient number, since it is larger than the sum of its proper divisors (11082075).

14983965 is a wasteful number, since it uses less digits than its factorization.

14983965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1210 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 14983965 is about 3870.9126830762. The cubic root of 14983965 is about 246.5332967432.

The spelling of 14983965 in words is "fourteen million, nine hundred eighty-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 433 769 1299 2165 2307 3845 3897 6495 6921 11535 19485 34605 332977 998931 1664885 2996793 4994655 14983965