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12289992 = 23311133581
BaseRepresentation
bin101110111000…
…011111001000
3212010101200220
4232320133020
511121234432
61115230040
7206314611
oct56703710
925111626
1012289992
116a34720
124148320
132713cb0
1418bcc08
15112b72c
hexbb87c8

12289992 has 64 divisors (see below), whose sum is σ = 36106560. Its totient is φ = 3436800.

The previous prime is 12289943. The next prime is 12289999. The reversal of 12289992 is 29998221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12289999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1642 + ... + 5222.

It is an arithmetic number, because the mean of its divisors is an integer number (564165).

Almost surely, 212289992 is an apocalyptic number.

12289992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12289992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18053280).

12289992 is an abundant number, since it is smaller than the sum of its proper divisors (23816568).

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

12289992 is a wasteful number, since it uses less digits than its factorization.

12289992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3610 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 12289992 is about 3505.7084875956. The cubic root of 12289992 is about 230.7724000249.

The spelling of 12289992 in words is "twelve million, two hundred eighty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 3581 7162 10743 14324 21486 28648 39391 42972 46553 78782 85944 93106 118173 139659 157564 186212 236346 279318 315128 372424 472692 512083 558636 945384 1024166 1117272 1536249 2048332 3072498 4096664 6144996 12289992