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12966990 = 2353173191
BaseRepresentation
bin110001011101…
…110001001110
3220101210100220
4301131301032
511304420430
61141532210
7215134431
oct61356116
926353326
1012966990
117357323
124414066
1328c019a
141a17818
151212110
hexc5dc4e

12966990 has 64 divisors (see below), whose sum is σ = 32735232. Its totient is φ = 3283200.

The previous prime is 12966977. The next prime is 12966991. The reversal of 12966990 is 9966921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12966991) 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 31 ways as a sum of consecutive naturals, for example, 67795 + ... + 67985.

It is an arithmetic number, because the mean of its divisors is an integer number (511488).

Almost surely, 212966990 is an apocalyptic number.

12966990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12966990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16367616).

12966990 is an abundant number, since it is smaller than the sum of its proper divisors (19768242).

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

12966990 is a wasteful number, since it uses less digits than its factorization.

12966990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305.

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 12966990 is about 3600.9707024634. The cubic root of 12966990 is about 234.9342807024.

The spelling of 12966990 in words is "twelve million, nine hundred sixty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 73 93 146 155 186 191 219 310 365 382 438 465 573 730 930 955 1095 1146 1910 2190 2263 2865 4526 5730 5921 6789 11315 11842 13578 13943 17763 22630 27886 29605 33945 35526 41829 59210 67890 69715 83658 88815 139430 177630 209145 418290 432233 864466 1296699 2161165 2593398 4322330 6483495 12966990