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12397536 = 25344783
BaseRepresentation
bin101111010010…
…101111100000
3212022212020000
4233102233200
511133210121
61121420000
7210243264
oct57225740
925285200
1012397536
116aa84a8
12419a600
132750c28
14190a0a4
15114d526
hexbd2be0

12397536 has 60 divisors (see below), whose sum is σ = 36468432. Its totient is φ = 4131648.

The previous prime is 12397513. The next prime is 12397537. The reversal of 12397536 is 63579321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12397536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12397537) 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 9 ways as a sum of consecutive naturals, for example, 201 + ... + 4983.

Almost surely, 212397536 is an apocalyptic number.

12397536 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 12397536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18234216).

12397536 is an abundant number, since it is smaller than the sum of its proper divisors (24070896).

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

12397536 is an equidigital number, since it uses as much as digits as its factorization.

12397536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805 (or 4788 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 12397536 is about 3521.0134904598. The cubic root of 12397536 is about 231.4435733955.

The spelling of 12397536 in words is "twelve million, three hundred ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4783 9566 14349 19132 28698 38264 43047 57396 76528 86094 114792 129141 153056 172188 229584 258282 344376 387423 459168 516564 688752 774846 1033128 1377504 1549692 2066256 3099384 4132512 6198768 12397536