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12406680 = 233251113241
BaseRepresentation
bin101111010100…
…111110011000
3212100022202200
4233110332120
511134003210
61121530200
7210312036
oct57247630
925308680
1012406680
117004360
1241a3960
132755140
14190d556
1511510c0
hexbd4f98

12406680 has 192 divisors, whose sum is σ = 47567520. Its totient is φ = 2764800.

The previous prime is 12406673. The next prime is 12406687. The reversal of 12406680 is 8660421.

It is an interprime number because it is at equal distance from previous prime (12406673) and next prime (12406687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12406687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51360 + ... + 51600.

Almost surely, 212406680 is an apocalyptic number.

12406680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12406680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783760).

12406680 is an abundant number, since it is smaller than the sum of its proper divisors (35160840).

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

12406680 is a wasteful number, since it uses less digits than its factorization.

12406680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12406680 is about 3522.3117408884. The cubic root of 12406680 is about 231.5004610421.

The spelling of 12406680 in words is "twelve million, four hundred six thousand, six hundred eighty".