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12740328 = 233419661
BaseRepresentation
bin110000100110…
…011011101000
3212222021110000
4300212123220
511230142303
61133023000
7213201546
oct60463350
925867400
1012740328
117211aa7
124324a60
132840c73
141998d96
1511b9da3
hexc266e8

12740328 has 40 divisors (see below), whose sum is σ = 35686530. Its totient is φ = 4246560.

The previous prime is 12740303. The next prime is 12740333. The reversal of 12740328 is 82304721.

It can be written as a sum of positive squares in only one way, i.e., 10614564 + 2125764 = 3258^2 + 1458^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9183 + ... + 10478.

Almost surely, 212740328 is an apocalyptic number.

12740328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12740328 is an abundant number, since it is smaller than the sum of its proper divisors (22946202).

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

12740328 is a wasteful number, since it uses less digits than its factorization.

12740328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19679 (or 19666 counting only the distinct ones).

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

The square root of 12740328 is about 3569.3596064280. The cubic root of 12740328 is about 233.5573485807.

The spelling of 12740328 in words is "twelve million, seven hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 19661 39322 58983 78644 117966 157288 176949 235932 353898 471864 530847 707796 1061694 1415592 1592541 2123388 3185082 4246776 6370164 12740328