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12495060 = 22365857
BaseRepresentation
bin101111101010…
…100011010100
3212111211000000
4233222203110
511144320220
61123451300
7211130514
oct57524324
925454000
1012495060
1170647a6
124226b30
132786436
141933844
15116c390
hexbea8d4

12495060 has 84 divisors (see below), whose sum is σ = 39387348. Its totient is φ = 3328128.

The previous prime is 12495059. The next prime is 12495073. The reversal of 12495060 is 6059421.

It can be written as a sum of positive squares in 2 ways, for example, as 8503056 + 3992004 = 2916^2 + 1998^2 .

It is a super-3 number, since 3×124950603 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 14152 + ... + 15008.

It is an arithmetic number, because the mean of its divisors is an integer number (468897).

Almost surely, 212495060 is an apocalyptic number.

12495060 is a gapful number since it is divisible by the number (10) 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 12495060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19693674).

12495060 is an abundant number, since it is smaller than the sum of its proper divisors (26892288).

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

12495060 is an equidigital number, since it uses as much as digits as its factorization.

12495060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12495060 is about 3534.8352153955. The cubic root of 12495060 is about 232.0488650539.

The spelling of 12495060 in words is "twelve million, four hundred ninety-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 857 972 1215 1458 1620 1714 2430 2571 2916 3428 3645 4285 4860 5142 7290 7713 8570 10284 12855 14580 15426 17140 23139 25710 30852 38565 46278 51420 69417 77130 92556 115695 138834 154260 208251 231390 277668 347085 416502 462780 624753 694170 833004 1041255 1249506 1388340 2082510 2499012 3123765 4165020 6247530 12495060