Search a number
-
+
14212640 = 255136833
BaseRepresentation
bin110110001101…
…111000100000
3222202002002002
4312031320200
512114301030
61224343132
7231543161
oct66157040
928662062
1014212640
118028192
124914aa8
132c38160
141c5d768
1513ab245
hexd8de20

14212640 has 48 divisors (see below), whose sum is σ = 36165528. Its totient is φ = 5246976.

The previous prime is 14212637. The next prime is 14212651. The reversal of 14212640 is 4621241.

It can be written as a sum of positive squares in 4 ways, for example, as 5895184 + 8317456 = 2428^2 + 2884^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1337 + ... + 5496.

Almost surely, 214212640 is an apocalyptic number.

14212640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14212640 is an abundant number, since it is smaller than the sum of its proper divisors (21952888).

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

14212640 is a wasteful number, since it uses less digits than its factorization.

14212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6861 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 14212640 is about 3769.9655170837. The cubic root of 14212640 is about 242.2283208196.

Adding to 14212640 its reverse (4621241), we get a palindrome (18833881).

The spelling of 14212640 in words is "fourteen million, two hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 6833 13666 27332 34165 54664 68330 88829 109328 136660 177658 218656 273320 355316 444145 546640 710632 888290 1093280 1421264 1776580 2842528 3553160 7106320 14212640