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12490272 = 2532311399
BaseRepresentation
bin101111101001…
…011000100000
3212111120102200
4233221120200
511144142042
61123413200
7211110534
oct57513040
925446380
1012490272
117061143
124224200
1327841c2
141931bc4
15116ac4c
hexbe9620

12490272 has 72 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 4026240.

The previous prime is 12490259. The next prime is 12490273. The reversal of 12490272 is 27209421.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12490273) 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 11 ways as a sum of consecutive naturals, for example, 8229 + ... + 9627.

It is an arithmetic number, because the mean of its divisors is an integer number (509600).

Almost surely, 212490272 is an apocalyptic number.

12490272 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 12490272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

12490272 is an abundant number, since it is smaller than the sum of its proper divisors (24200928).

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

12490272 is a wasteful number, since it uses less digits than its factorization.

12490272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12490272 is about 3534.1578912097. The cubic root of 12490272 is about 232.0192215545.

Adding to 12490272 its reverse (27209421), we get a palindrome (39699693).

The spelling of 12490272 in words is "twelve million, four hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1399 1488 2232 2798 2976 4197 4464 5596 8394 8928 11192 12591 16788 22384 25182 33576 43369 44768 50364 67152 86738 100728 130107 134304 173476 201456 260214 346952 390321 402912 520428 693904 780642 1040856 1387808 1561284 2081712 3122568 4163424 6245136 12490272