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12953898 = 23317103137
BaseRepresentation
bin110001011010…
…100100101010
3220101010102000
4301122210222
511304011043
61141351430
7215051316
oct61324452
926333360
1012953898
117348501
124408576
1328b7239
141a12b46
15120d2d3
hexc5a92a

12953898 has 64 divisors (see below), whose sum is σ = 31000320. Its totient is φ = 3995136.

The previous prime is 12953891. The next prime is 12953903. The reversal of 12953898 is 89835921.

It is a happy number.

12953898 is a `hidden beast` number, since 1 + 29 + 538 + 98 = 666.

It is not an unprimeable number, because it can be changed into a prime (12953891) 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 31 ways as a sum of consecutive naturals, for example, 94486 + ... + 94622.

It is an arithmetic number, because the mean of its divisors is an integer number (484380).

Almost surely, 212953898 is an apocalyptic number.

12953898 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12953898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15500160).

12953898 is an abundant number, since it is smaller than the sum of its proper divisors (18046422).

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

12953898 is a wasteful number, since it uses less digits than its factorization.

12953898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 12953898 is about 3599.1524002187. The cubic root of 12953898 is about 234.8551876792.

The spelling of 12953898 in words is "twelve million, nine hundred fifty-three thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 103 137 153 206 274 306 309 411 459 618 822 918 927 1233 1751 1854 2329 2466 2781 3502 3699 4658 5253 5562 6987 7398 10506 13974 14111 15759 20961 28222 31518 41922 42333 47277 62883 84666 94554 125766 126999 239887 253998 380997 479774 719661 761994 1439322 2158983 4317966 6476949 12953898