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13765125 = 353114771
BaseRepresentation
bin110100100000…
…101000000101
3221220100012110
4310200220011
512010441000
61211011233
7225000363
oct64405005
927810173
1013765125
117851a40
124739b19
132b0c55a
141b84633
15131d850
hexd20a05

13765125 has 64 divisors (see below), whose sum is σ = 25878528. Its totient is φ = 6440000.

The previous prime is 13765123. The next prime is 13765133. The reversal of 13765125 is 52156731.

13765125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13765125 - 21 = 13765123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13765092 and 13765101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13765123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193840 + ... + 193910.

It is an arithmetic number, because the mean of its divisors is an integer number (404352).

Almost surely, 213765125 is an apocalyptic number.

13765125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13765125 is a deficient number, since it is larger than the sum of its proper divisors (12113403).

13765125 is a wasteful number, since it uses less digits than its factorization.

13765125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 13765125 is about 3710.1381375900. The cubic root of 13765125 is about 239.6588033612.

The spelling of 13765125 in words is "thirteen million, seven hundred sixty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 47 55 71 75 125 141 165 213 235 275 355 375 517 705 781 825 1065 1175 1375 1551 1775 2343 2585 3337 3525 3905 4125 5325 5875 7755 8875 10011 11715 12925 16685 17625 19525 26625 36707 38775 50055 58575 64625 83425 97625 110121 183535 193875 250275 292875 417125 550605 917675 1251375 2753025 4588375 13765125