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12149024 = 253137331
BaseRepresentation
bin101110010110…
…000100100000
3211212020022212
4232112010200
511102232044
61112221252
7205156616
oct56260440
924766285
1012149024
116948818
12409a828
132694a94
1418836b6
1510eea9e
hexb96120

12149024 has 48 divisors (see below), whose sum is σ = 25433856. Its totient is φ = 5702400.

The previous prime is 12149021. The next prime is 12149041. The reversal of 12149024 is 42094121.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12149021) 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, 36539 + ... + 36869.

It is an arithmetic number, because the mean of its divisors is an integer number (529872).

Almost surely, 212149024 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 12149024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12716928).

12149024 is an abundant number, since it is smaller than the sum of its proper divisors (13284832).

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

12149024 is a wasteful number, since it uses less digits than its factorization.

With its successor (12149025) it forms an eRAP, since the sums of their prime factors are consecutive (409 and 410).

12149024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 12149024 is about 3485.5450075992. The cubic root of 12149024 is about 229.8866738495.

The spelling of 12149024 in words is "twelve million, one hundred forty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 37 62 74 124 148 248 296 331 496 592 662 992 1147 1184 1324 2294 2648 4588 5296 9176 10261 10592 12247 18352 20522 24494 36704 41044 48988 82088 97976 164176 195952 328352 379657 391904 759314 1518628 3037256 6074512 12149024