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12811240 = 2351371347
BaseRepresentation
bin110000110111…
…101111101000
3220002212201101
4300313233220
511234424430
61134331144
7213615361
oct60675750
926085641
1012811240
117260302
124359ab4
132867320
1419b6b68
1511d0dca
hexc37be8

12811240 has 64 divisors (see below), whose sum is σ = 31570560. Its totient is φ = 4650240.

The previous prime is 12811237. The next prime is 12811241. The reversal of 12811240 is 4211821.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12811241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36747 + ... + 37093.

It is an arithmetic number, because the mean of its divisors is an integer number (493290).

Almost surely, 212811240 is an apocalyptic number.

12811240 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 12811240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15785280).

12811240 is an abundant number, since it is smaller than the sum of its proper divisors (18759320).

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

12811240 is a wasteful number, since it uses less digits than its factorization.

12811240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 12811240 is about 3579.2792570572. The cubic root of 12811240 is about 233.9898697735.

The spelling of 12811240 in words is "twelve million, eight hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 347 355 520 568 694 710 923 1388 1420 1735 1846 2776 2840 3470 3692 4511 4615 6940 7384 9022 9230 13880 18044 18460 22555 24637 36088 36920 45110 49274 90220 98548 123185 180440 197096 246370 320281 492740 640562 985480 1281124 1601405 2562248 3202810 6405620 12811240