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13212168 = 2332941463
BaseRepresentation
bin110010011001…
…101000001000
3220212020200120
4302121220020
511340242133
61151103240
7220205304
oct62315010
926766616
1013212168
117504552
124511b20
132977968
141a7cd04
15125eab3
hexc99a08

13212168 has 64 divisors (see below), whose sum is σ = 35078400. Its totient is φ = 4139520.

The previous prime is 13212167. The next prime is 13212181. The reversal of 13212168 is 86121231.

It is a super-2 number, since 2×132121682 = 349122766520448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13212161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28305 + ... + 28767.

It is an arithmetic number, because the mean of its divisors is an integer number (548100).

Almost surely, 213212168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539200).

13212168 is an abundant number, since it is smaller than the sum of its proper divisors (21866232).

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

13212168 is a wasteful number, since it uses less digits than its factorization.

13212168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 538 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 13212168 is about 3634.8546050702. The cubic root of 13212168 is about 236.4057465227.

Adding to 13212168 its reverse (86121231), we get a palindrome (99333399).

The spelling of 13212168 in words is "thirteen million, two hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 116 123 164 174 232 246 328 348 463 492 696 926 984 1189 1389 1852 2378 2778 3567 3704 4756 5556 7134 9512 11112 13427 14268 18983 26854 28536 37966 40281 53708 56949 75932 80562 107416 113898 151864 161124 227796 322248 455592 550507 1101014 1651521 2202028 3303042 4404056 6606084 13212168