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14292712 = 2372192101
BaseRepresentation
bin110110100001…
…011011101000
3222220010220201
4312201123220
512124331322
61230201544
7232325500
oct66413350
928803821
1014292712
118082365
1249532b4
132c65735
141c80a00
1513c4d27
hexda16e8

14292712 has 72 divisors (see below), whose sum is σ = 33227010. Its totient is φ = 5745600.

The previous prime is 14292709. The next prime is 14292713. The reversal of 14292712 is 21729241.

14292712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8561476 + 5731236 = 2926^2 + 2394^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (14292713) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 141462 + ... + 141562.

Almost surely, 214292712 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 14292712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16613505).

14292712 is an abundant number, since it is smaller than the sum of its proper divisors (18934298).

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

14292712 is a wasteful number, since it uses less digits than its factorization.

14292712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 129 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 14292712 is about 3780.5703273448. The cubic root of 14292712 is about 242.6823625613.

Subtracting 14292712 from its reverse (21729241), we obtain a square (7436529 = 27272).

The spelling of 14292712 in words is "fourteen million, two hundred ninety-two thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 101 133 152 196 202 266 361 392 404 532 707 722 808 931 1064 1414 1444 1862 1919 2527 2828 2888 3724 3838 4949 5054 5656 7448 7676 9898 10108 13433 15352 17689 19796 20216 26866 35378 36461 39592 53732 70756 72922 94031 107464 141512 145844 188062 255227 291688 376124 510454 752248 1020908 1786589 2041816 3573178 7146356 14292712