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12949146 = 234719601
BaseRepresentation
bin110001011001…
…011010011010
3220100212220000
4301121122122
511303333041
61141313430
7215031420
oct61313232
926325800
1012949146
117344981
124405876
1328b5022
141a11110
15120bbb6
hexc5969a

12949146 has 80 divisors (see below), whose sum is σ = 34964160. Its totient is φ = 3499200.

The previous prime is 12949117. The next prime is 12949147. The reversal of 12949146 is 64194921.

It is a happy number.

12949146 is a `hidden beast` number, since 129 + 491 + 46 = 666.

12949146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12949146.

It is not an unprimeable number, because it can be changed into a prime (12949147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21246 + ... + 21846.

It is an arithmetic number, because the mean of its divisors is an integer number (437052).

Almost surely, 212949146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12949146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482080).

12949146 is an abundant number, since it is smaller than the sum of its proper divisors (22015014).

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

12949146 is a wasteful number, since it uses less digits than its factorization.

12949146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 632 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12949146 is about 3598.4921842349. The cubic root of 12949146 is about 234.8264661225.

It can be divided in two parts, 1294 and 9146, that added together give a triangular number (10440 = T144).

The spelling of 12949146 in words is "twelve million, nine hundred forty-nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 601 798 1026 1134 1197 1202 1539 1803 2394 3078 3591 3606 4207 5409 7182 8414 10773 10818 11419 12621 16227 21546 22838 25242 32454 34257 37863 48681 68514 75726 79933 97362 102771 113589 159866 205542 227178 239799 308313 340767 479598 616626 681534 719397 924939 1438794 1849878 2158191 4316382 6474573 12949146