Search a number
-
+
14956280 = 235794733
BaseRepresentation
bin111001000011…
…011011111000
31001010212011022
4321003123320
512312100110
61252322012
7241061213
oct71033370
931125138
1014956280
118495969
125013308
133138791
141db477a
1514a6755
hexe436f8

14956280 has 32 divisors (see below), whose sum is σ = 34084800. Its totient is φ = 5905536.

The previous prime is 14956273. The next prime is 14956283. The reversal of 14956280 is 8265941.

It is a super-2 number, since 2×149562802 = 447380622876800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14956280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14956283) 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 7 ways as a sum of consecutive naturals, for example, 794 + ... + 5526.

It is an arithmetic number, because the mean of its divisors is an integer number (1065150).

Almost surely, 214956280 is an apocalyptic number.

14956280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14956280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17042400).

14956280 is an abundant number, since it is smaller than the sum of its proper divisors (19128520).

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

14956280 is a wasteful number, since it uses less digits than its factorization.

14956280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 14956280 is about 3867.3349997123. The cubic root of 14956280 is about 246.3813680604.

The spelling of 14956280 in words is "fourteen million, nine hundred fifty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 4733 9466 18932 23665 37864 47330 94660 189320 373907 747814 1495628 1869535 2991256 3739070 7478140 14956280