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12694960 = 245891783
BaseRepresentation
bin110000011011…
…010110110000
3212212222012201
4300123112300
511222214320
61132032544
7212622355
oct60332660
925788181
1012694960
117190a03
124302754
132826415
14198662c
1511ab70a
hexc1b5b0

12694960 has 40 divisors (see below), whose sum is σ = 29864160. Its totient is φ = 5018112.

The previous prime is 12694901. The next prime is 12694987. The reversal of 12694960 is 6949621.

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

It is a super-2 number, since 2×126949602 = 322324018803200, which contains 22 as substring.

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, 6229 + ... + 8011.

It is an arithmetic number, because the mean of its divisors is an integer number (746604).

Almost surely, 212694960 is an apocalyptic number.

12694960 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 12694960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14932080).

12694960 is an abundant number, since it is smaller than the sum of its proper divisors (17169200).

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

12694960 is a wasteful number, since it uses less digits than its factorization.

12694960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 12694960 is about 3562.9987370191. The cubic root of 12694960 is about 233.2797881669.

The spelling of 12694960 in words is "twelve million, six hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 1783 3560 3566 7120 7132 8915 14264 17830 28528 35660 71320 142640 158687 317374 634748 793435 1269496 1586870 2538992 3173740 6347480 12694960