Search a number
-
+
14280992 = 2511291399
BaseRepresentation
bin110110011110…
…100100100000
3222212112211122
4312132210200
512123442432
61230031412
7232246355
oct66364440
928775748
1014280992
118074580
124948568
132c602bb
141c7a62c
1513c1612
hexd9e920

14280992 has 48 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 6263040.

The previous prime is 14280961. The next prime is 14281087. The reversal of 14280992 is 29908241.

It is a congruent number.

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, 9509 + ... + 10907.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 214280992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14280992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

14280992 is an abundant number, since it is smaller than the sum of its proper divisors (17471008).

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

14280992 is a wasteful number, since it uses less digits than its factorization.

14280992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 14280992 is about 3779.0199787776. The cubic root of 14280992 is about 242.6160113779.

The spelling of 14280992 in words is "fourteen million, two hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 1399 2552 2798 5104 5596 10208 11192 15389 22384 30778 40571 44768 61556 81142 123112 162284 246224 324568 446281 492448 649136 892562 1298272 1785124 3570248 7140496 14280992