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12695040 = 293251929
BaseRepresentation
bin110000011011…
…011000000000
3212212222022200
4300123120000
511222220130
61132033200
7212622531
oct60333000
925788280
1012695040
117190a76
124302800
132826477
141986688
1511ab760
hexc1b600

12695040 has 240 divisors, whose sum is σ = 47876400. Its totient is φ = 3096576.

The previous prime is 12695017. The next prime is 12695041. The reversal of 12695040 is 4059621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×126950402 = 322328081203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12694995 and 12695013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12695041) 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, 437746 + ... + 437774.

It is an arithmetic number, because the mean of its divisors is an integer number (199485).

Almost surely, 212695040 is an apocalyptic number.

12695040 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 12695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23938200).

12695040 is an abundant number, since it is smaller than the sum of its proper divisors (35181360).

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

12695040 is a wasteful number, since it uses less digits than its factorization.

12695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12695040 is about 3563.0099635000. The cubic root of 12695040 is about 233.2802781867.

The spelling of 12695040 in words is "twelve million, six hundred ninety-five thousand, forty".