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12468001 = 721323237
BaseRepresentation
bin101111100011…
…111100100001
3212110102212211
4233203330201
511142434001
61123122121
7210655600
oct57437441
925412784
1012468001
117046437
124213341
132777020
141927a37
151164351
hexbe3f21

12468001 has 36 divisors (see below), whose sum is σ = 16769172. Its totient is φ = 9180864.

The previous prime is 12467981. The next prime is 12468007. The reversal of 12468001 is 10086421.

It can be written as a sum of positive squares in 2 ways, for example, as 6635776 + 5832225 = 2576^2 + 2415^2 .

It is not a de Polignac number, because 12468001 - 25 = 12467969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12468007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 336955 + ... + 336991.

Almost surely, 212468001 is an apocalyptic number.

It is an amenable number.

12468001 is a deficient number, since it is larger than the sum of its proper divisors (4301171).

12468001 is a wasteful number, since it uses less digits than its factorization.

12468001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 12468001 is about 3531.0056641133. The cubic root of 12468001 is about 231.8812375206.

The spelling of 12468001 in words is "twelve million, four hundred sixty-eight thousand, one".

Divisors: 1 7 13 23 37 49 91 161 259 299 481 529 637 851 1127 1813 2093 3367 3703 5957 6877 11063 14651 19573 23569 25921 41699 48139 77441 137011 254449 336973 542087 959077 1781143 12468001