Search a number
-
+
14541264 = 2432100981
BaseRepresentation
bin110111011110…
…000111010000
31000100202212100
4313132013100
512210310024
61235400400
7234412233
oct67360720
930322770
1014541264
118232081
124a53100
1330218ca
141d0741a
1514237c9
hexdde1d0

14541264 has 30 divisors (see below), whose sum is σ = 40695746. Its totient is φ = 4847040.

The previous prime is 14541257. The next prime is 14541269. The reversal of 14541264 is 46214541.

It can be written as a sum of positive squares in only one way, i.e., 7884864 + 6656400 = 2808^2 + 2580^2 .

It is a super-2 number, since 2×145412642 = 422896717435392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14541269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50347 + ... + 50634.

Almost surely, 214541264 is an apocalyptic number.

It is an amenable number.

14541264 is an abundant number, since it is smaller than the sum of its proper divisors (26154482).

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

14541264 is a wasteful number, since it uses less digits than its factorization.

14541264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100995 (or 100986 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 14541264 is about 3813.3009322633. The cubic root of 14541264 is about 244.0810444747.

The spelling of 14541264 in words is "fourteen million, five hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 100981 201962 302943 403924 605886 807848 908829 1211772 1615696 1817658 2423544 3635316 4847088 7270632 14541264