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14124992 = 26741769
BaseRepresentation
bin110101111000…
…011111000000
3222120121211212
4311320133000
512103444432
61222425252
7231026510
oct65703700
928517755
1014124992
117a78352
124892228
132c072ab
141c39840
1513902b2
hexd787c0

14124992 has 56 divisors (see below), whose sum is σ = 32857440. Its totient is φ = 5898240.

The previous prime is 14124959. The next prime is 14124997. The reversal of 14124992 is 29942141.

14124992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17984 + ... + 18752.

It is an arithmetic number, because the mean of its divisors is an integer number (586740).

Almost surely, 214124992 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 14124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428720).

14124992 is an abundant number, since it is smaller than the sum of its proper divisors (18732448).

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

14124992 is an equidigital number, since it uses as much as digits as its factorization.

14124992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 819 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 14124992 is about 3758.3230302889. The cubic root of 14124992 is about 241.7293607193.

The spelling of 14124992 in words is "fourteen million, one hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 769 1148 1312 1538 2296 2624 3076 4592 5383 6152 9184 10766 12304 18368 21532 24608 31529 43064 49216 63058 86128 126116 172256 220703 252232 344512 441406 504464 882812 1008928 1765624 2017856 3531248 7062496 14124992