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12400072 = 2317731249
BaseRepresentation
bin101111010011…
…010111001000
3212022222200221
4233103113020
511133300242
61121435424
7210253546
oct57232710
925288627
1012400072
116aaa3a3
12419bb74
132752129
14190ad96
15114e167
hexbd35c8

12400072 has 32 divisors (see below), whose sum is σ = 24975000. Its totient is φ = 5750784.

The previous prime is 12400049. The next prime is 12400097. The reversal of 12400072 is 27000421.

It can be written as a sum of positive squares in 4 ways, for example, as 11600836 + 799236 = 3406^2 + 894^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9304 + ... + 10552.

Almost surely, 212400072 is an apocalyptic number.

It is an amenable number.

12400072 is an abundant number, since it is smaller than the sum of its proper divisors (12574928).

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

12400072 is a wasteful number, since it uses less digits than its factorization.

12400072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 12400072 is about 3521.3735956300. The cubic root of 12400072 is about 231.4593534367.

Adding to 12400072 its reverse (27000421), we get a palindrome (39400493).

The spelling of 12400072 in words is "twelve million, four hundred thousand, seventy-two".

Divisors: 1 2 4 8 17 34 68 73 136 146 292 584 1241 1249 2482 2498 4964 4996 9928 9992 21233 42466 84932 91177 169864 182354 364708 729416 1550009 3100018 6200036 12400072