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12790640 = 2451011583
BaseRepresentation
bin110000110010…
…101101110000
3220001211110102
4300302231300
511233300030
61134051532
7213501332
oct60625560
926054412
1012790640
117246885
124349ba8
13285ab35
1419ad452
1511c9c45
hexc32b70

12790640 has 40 divisors (see below), whose sum is σ = 30051648. Its totient is φ = 5062400.

The previous prime is 12790639. The next prime is 12790699. The reversal of 12790640 is 4609721.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7289 + ... + 8871.

Almost surely, 212790640 is an apocalyptic number.

12790640 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 12790640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025824).

12790640 is an abundant number, since it is smaller than the sum of its proper divisors (17261008).

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

12790640 is a wasteful number, since it uses less digits than its factorization.

12790640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 12790640 is about 3576.4004250084. The cubic root of 12790640 is about 233.8643868073.

The spelling of 12790640 in words is "twelve million, seven hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1583 1616 2020 3166 4040 6332 7915 8080 12664 15830 25328 31660 63320 126640 159883 319766 639532 799415 1279064 1598830 2558128 3197660 6395320 12790640