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12438720 = 263257617
BaseRepresentation
bin101111011100…
…110011000000
3212101221201100
4233130303000
511141014340
61122334400
7210504330
oct57346300
925357640
1012438720
117026438
1241ba400
1327668b8
14191b0c0
15115a830
hexbdccc0

12438720 has 168 divisors, whose sum is σ = 48975264. Its totient is φ = 2838528.

The previous prime is 12438707. The next prime is 12438721. The reversal of 12438720 is 2783421.

12438720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (12438721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19852 + ... + 20468.

Almost surely, 212438720 is an apocalyptic number.

12438720 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 12438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24487632).

12438720 is an abundant number, since it is smaller than the sum of its proper divisors (36536544).

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

12438720 is a wasteful number, since it uses less digits than its factorization.

12438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12438720 is about 3526.8569576891. The cubic root of 12438720 is about 231.6995714925.

The spelling of 12438720 in words is "twelve million, four hundred thirty-eight thousand, seven hundred twenty".