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12966450 = 2352753233
BaseRepresentation
bin110001011101…
…101000110010
3220101202121220
4301131220302
511304411300
61141525510
7215133030
oct61355062
926352556
1012966450
117356982
124413896
1328bcb73
141a17550
151211da0
hexc5da32

12966450 has 96 divisors (see below), whose sum is σ = 37604736. Its totient is φ = 2895360.

The previous prime is 12966449. The next prime is 12966469. The reversal of 12966450 is 5466921.

12966450 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55534 + ... + 55766.

It is an arithmetic number, because the mean of its divisors is an integer number (391716).

Almost surely, 212966450 is an apocalyptic number.

12966450 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 12966450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802368).

12966450 is an abundant number, since it is smaller than the sum of its proper divisors (24638286).

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

12966450 is a wasteful number, since it uses less digits than its factorization.

12966450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 12966450 is about 3600.8957219003. The cubic root of 12966450 is about 234.9310194400.

The spelling of 12966450 in words is "twelve million, nine hundred sixty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 53 70 75 105 106 150 159 175 210 233 265 318 350 371 466 525 530 699 742 795 1050 1113 1165 1325 1398 1590 1631 1855 2226 2330 2650 3262 3495 3710 3975 4893 5565 5825 6990 7950 8155 9275 9786 11130 11650 12349 16310 17475 18550 24465 24698 27825 34950 37047 40775 48930 55650 61745 74094 81550 86443 122325 123490 172886 185235 244650 259329 308725 370470 432215 518658 617450 864430 926175 1296645 1852350 2161075 2593290 4322150 6483225 12966450