Search a number
-
+
14857960 = 2351328573
BaseRepresentation
bin111000101011…
…011011101000
31000221212021211
4320223123220
512300423320
61250242504
7240201445
oct70533350
930855254
1014857960
118429007
124b86434
133102ac0
141d8a9cc
15148755a
hexe2b6e8

14857960 has 32 divisors (see below), whose sum is σ = 36003240. Its totient is φ = 5485824.

The previous prime is 14857903. The next prime is 14857961. The reversal of 14857960 is 6975841.

It can be written as a sum of positive squares in 4 ways, for example, as 3928324 + 10929636 = 1982^2 + 3306^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14857961) 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, 13767 + ... + 14806.

Almost surely, 214857960 is an apocalyptic number.

14857960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14857960 is an abundant number, since it is smaller than the sum of its proper divisors (21145280).

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

14857960 is a wasteful number, since it uses less digits than its factorization.

14857960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28597 (or 28593 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 14857960 is about 3854.6024438326. The cubic root of 14857960 is about 245.8402911625.

The spelling of 14857960 in words is "fourteen million, eight hundred fifty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 28573 57146 114292 142865 228584 285730 371449 571460 742898 1142920 1485796 1857245 2971592 3714490 7428980 14857960