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12089792 = 2611131321
BaseRepresentation
bin101110000111…
…100111000000
3211202020002002
4232013213000
511043333132
61111043132
7204522131
oct56074700
924666062
1012089792
116908270
1240704a8
132673b30
141869c88
1510dc262
hexb879c0

12089792 has 56 divisors (see below), whose sum is σ = 28206192. Its totient is φ = 5068800.

The previous prime is 12089761. The next prime is 12089797. The reversal of 12089792 is 29798021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12089797) by changing a digit.

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, 8492 + ... + 9812.

It is an arithmetic number, because the mean of its divisors is an integer number (503682).

Almost surely, 212089792 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 12089792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103096).

12089792 is an abundant number, since it is smaller than the sum of its proper divisors (16116400).

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

12089792 is a wasteful number, since it uses less digits than its factorization.

12089792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 12089792 is about 3477.0378197541. The cubic root of 12089792 is about 229.5124644559.

The spelling of 12089792 in words is "twelve million, eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 1321 2288 2642 4576 5284 9152 10568 14531 17173 21136 29062 34346 42272 58124 68692 84544 116248 137384 188903 232496 274768 377806 464992 549536 755612 929984 1099072 1511224 3022448 6044896 12089792