Search a number
-
+
14765625 = 33577
BaseRepresentation
bin111000010100…
…111000111001
31000210011122000
4320110320321
512240000000
61244251213
7236335320
oct70247071
930704560
1014765625
1183756a6
124b40b09
13309ca74
141d650b7
15146a000
hexe14e39

14765625 has 64 divisors (see below), whose sum is σ = 31249920. Its totient is φ = 6750000.

The previous prime is 14765593. The next prime is 14765651. The reversal of 14765625 is 52656741.

It is a happy number.

14765625 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 is not a de Polignac number, because 14765625 - 25 = 14765593 is a prime.

Its product of digits (50400) is a multiple of the sum of its prime divisors (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14765625.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2109372 + ... + 2109378.

It is an arithmetic number, because the mean of its divisors is an integer number (488280).

Almost surely, 214765625 is an apocalyptic number.

14765625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14765625 is an abundant number, since it is smaller than the sum of its proper divisors (16484295).

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

14765625 is an frugal number, since it uses more digits than its factorization.

14765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 15 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 14765625 is about 3842.6065372348. The cubic root of 14765625 is about 245.3299732641.

The spelling of 14765625 in words is "fourteen million, seven hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 625 675 875 945 1125 1575 1875 2625 3125 3375 4375 4725 5625 7875 9375 13125 15625 16875 21875 23625 28125 39375 46875 65625 78125 84375 109375 118125 140625 196875 234375 328125 421875 546875 590625 703125 984375 1640625 2109375 2953125 4921875 14765625