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12094032 = 2431989149
BaseRepresentation
bin101110001000…
…101001010000
3211202102220010
4232020221100
511044002112
61111114520
7204540366
oct56105120
924672803
1012094032
116910475
124072a40
132675a42
14186b636
1510dd63c
hexb88a50

12094032 has 80 divisors (see below), whose sum is σ = 33480000. Its totient is φ = 3750912.

The previous prime is 12094009. The next prime is 12094039. The reversal of 12094032 is 23049021.

It is a super-2 number, since 2×120940322 = 292531220034048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12094039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81094 + ... + 81242.

It is an arithmetic number, because the mean of its divisors is an integer number (418500).

Almost surely, 212094032 is an apocalyptic number.

12094032 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 12094032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740000).

12094032 is an abundant number, since it is smaller than the sum of its proper divisors (21385968).

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

12094032 is a wasteful number, since it uses less digits than its factorization.

12094032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12094032 is about 3477.6474806973. The cubic root of 12094032 is about 229.5392920228.

The spelling of 12094032 in words is "twelve million, ninety-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 89 114 149 152 178 228 267 298 304 356 447 456 534 596 712 894 912 1068 1192 1424 1691 1788 2136 2384 2831 3382 3576 4272 5073 5662 6764 7152 8493 10146 11324 13261 13528 16986 20292 22648 26522 27056 33972 39783 40584 45296 53044 67944 79566 81168 106088 135888 159132 212176 251959 318264 503918 636528 755877 1007836 1511754 2015672 3023508 4031344 6047016 12094032