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12392016 = 2437132837
BaseRepresentation
bin101111010001…
…011001010000
3212022120122120
4233101121100
511133021031
61121334240
7210221220
oct57213120
925276576
1012392016
116aa433a
124197380
13274b570
141908080
15114ba96
hexbd1650

12392016 has 80 divisors (see below), whose sum is σ = 39414144. Its totient is φ = 3267072.

The previous prime is 12392011. The next prime is 12392021. The reversal of 12392016 is 61029321.

It is an interprime number because it is at equal distance from previous prime (12392011) and next prime (12392021).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12392011) 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, 2950 + ... + 5786.

Almost surely, 212392016 is an apocalyptic number.

12392016 is a gapful number since it is divisible by the number (16) 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 12392016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19707072).

12392016 is an abundant number, since it is smaller than the sum of its proper divisors (27022128).

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

12392016 is a wasteful number, since it uses less digits than its factorization.

12392016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 12392016 is about 3520.2295379705. The cubic root of 12392016 is about 231.4092182305.

The spelling of 12392016 in words is "twelve million, three hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 2837 4368 5674 8511 11348 17022 19859 22696 34044 36881 39718 45392 59577 68088 73762 79436 110643 119154 136176 147524 158872 221286 238308 258167 295048 317744 442572 476616 516334 590096 774501 885144 953232 1032668 1549002 1770288 2065336 3098004 4130672 6196008 12392016