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12490368 = 273112957
BaseRepresentation
bin101111101001…
…011010000000
3212111120120020
4233221122000
511144142433
61123413440
7211111032
oct57513200
925446506
1012490368
117061220
124224280
132784267
141931c52
15116acb3
hexbe9680

12490368 has 64 divisors (see below), whose sum is σ = 36205920. Its totient is φ = 3783680.

The previous prime is 12490343. The next prime is 12490369. The reversal of 12490368 is 86309421.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12490369) 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 7 ways as a sum of consecutive naturals, for example, 2746 + ... + 5702.

Almost surely, 212490368 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 12490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18102960).

12490368 is an abundant number, since it is smaller than the sum of its proper divisors (23715552).

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

12490368 is a wasteful number, since it uses less digits than its factorization.

12490368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 12490368 is about 3534.1714729198. The cubic root of 12490368 is about 232.0198159848.

Adding to 12490368 its reverse (86309421), we get a palindrome (98799789).

The spelling of 12490368 in words is "twelve million, four hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 2957 4224 5914 8871 11828 17742 23656 32527 35484 47312 65054 70968 94624 97581 130108 141936 189248 195162 260216 283872 378496 390324 520432 567744 780648 1040864 1135488 1561296 2081728 3122592 4163456 6245184 12490368