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12740352 = 28353313
BaseRepresentation
bin110000100110…
…011100000000
3212222021110220
4300212130000
511230142402
61133023040
7213201612
oct60463400
925867426
1012740352
117212019
124324a80
132840c91
141998db2
1511b9dbc
hexc26700

12740352 has 72 divisors (see below), whose sum is σ = 34658064. Its totient is φ = 4153344.

The previous prime is 12740347. The next prime is 12740353. The reversal of 12740352 is 25304721.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12740353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40548 + ... + 40860.

It is an arithmetic number, because the mean of its divisors is an integer number (481362).

Almost surely, 212740352 is an apocalyptic number.

12740352 is a gapful number since it is divisible by the number (12) 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 12740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329032).

12740352 is an abundant number, since it is smaller than the sum of its proper divisors (21917712).

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

12740352 is an equidigital number, since it uses as much as digits as its factorization.

12740352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 12740352 is about 3569.3629683740. The cubic root of 12740352 is about 233.5574952377.

The spelling of 12740352 in words is "twelve million, seven hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 313 318 384 424 626 636 768 848 939 1252 1272 1696 1878 2504 2544 3392 3756 5008 5088 6784 7512 10016 10176 13568 15024 16589 20032 20352 30048 33178 40064 40704 49767 60096 66356 80128 99534 120192 132712 199068 240384 265424 398136 530848 796272 1061696 1592544 2123392 3185088 4246784 6370176 12740352