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12630240 = 2532572179
BaseRepresentation
bin110000001011…
…100011100000
3212202200102200
4300023203200
511213131430
61130413200
7212232600
oct60134340
925680380
1012630240
117147317
124291200
132802b1c
14196ac00
151197460
hexc0b8e0

12630240 has 216 divisors, whose sum is σ = 50417640. Its totient is φ = 2870784.

The previous prime is 12630229. The next prime is 12630251. The reversal of 12630240 is 4203621.

It is a happy number.

12630240 is a `hidden beast` number, since 12 + 630 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12630229) and next prime (12630251).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70471 + ... + 70649.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 212630240 is an apocalyptic number.

12630240 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 12630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25208820).

12630240 is an abundant number, since it is smaller than the sum of its proper divisors (37787400).

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

12630240 is a wasteful number, since it uses less digits than its factorization.

12630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12630240 is about 3553.9048946194. The cubic root of 12630240 is about 232.8826857591.

Adding to 12630240 its reverse (4203621), we get a palindrome (16833861).

The spelling of 12630240 in words is "twelve million, six hundred thirty thousand, two hundred forty".