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12148032 = 2631331157
BaseRepresentation
bin101110010101…
…110101000000
3211212011222010
4232111311000
511102214112
61112212520
7205154001
oct56256500
924764863
1012148032
116947aa6
12409a140
1326944b0
1418831a8
1510ee63c
hexb95d40

12148032 has 112 divisors (see below), whose sum is σ = 35958272. Its totient is φ = 3594240.

The previous prime is 12148027. The next prime is 12148033. The reversal of 12148032 is 23084121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12148033) 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 15 ways as a sum of consecutive naturals, for example, 77298 + ... + 77454.

It is an arithmetic number, because the mean of its divisors is an integer number (321056).

Almost surely, 212148032 is an apocalyptic number.

12148032 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 12148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17979136).

12148032 is an abundant number, since it is smaller than the sum of its proper divisors (23810240).

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

12148032 is a wasteful number, since it uses less digits than its factorization.

12148032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12148032 is about 3485.4027027017. The cubic root of 12148032 is about 229.8804167272.

The spelling of 12148032 in words is "twelve million, one hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 157 186 192 208 248 312 314 372 403 416 471 496 624 628 744 806 832 942 992 1209 1248 1256 1488 1612 1884 1984 2041 2418 2496 2512 2976 3224 3768 4082 4836 4867 5024 5952 6123 6448 7536 8164 9672 9734 10048 12246 12896 14601 15072 16328 19344 19468 24492 25792 29202 30144 32656 38688 38936 48984 58404 63271 65312 77376 77872 97968 116808 126542 130624 155744 189813 195936 233616 253084 311488 379626 391872 467232 506168 759252 934464 1012336 1518504 2024672 3037008 4049344 6074016 12148032