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11817940 = 2255311149
BaseRepresentation
bin101101000101…
…001111010100
3211020102011111
4231011033110
511011133230
61101144404
7202310431
oct55051724
924212144
1011817940
116741aa2
123b5b104
1325aa184
1417d8b88
15108692a
hexb453d4

11817940 has 24 divisors (see below), whose sum is σ = 25288200. Its totient is φ = 4637568.

The previous prime is 11817937. The next prime is 11817947. The reversal of 11817940 is 4971811.

11817940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1281424 + 10536516 = 1132^2 + 3246^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11817947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4515 + ... + 6634.

It is an arithmetic number, because the mean of its divisors is an integer number (1053675).

Almost surely, 211817940 is an apocalyptic number.

11817940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11817940 is an abundant number, since it is smaller than the sum of its proper divisors (13470260).

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

11817940 is a wasteful number, since it uses less digits than its factorization.

11817940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11211 (or 11209 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 31.

The square root of 11817940 is about 3437.7230836704. The cubic root of 11817940 is about 227.7791284649.

The spelling of 11817940 in words is "eleven million, eight hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 11149 22298 44596 55745 111490 222980 590897 1181794 2363588 2954485 5908970 11817940