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11866940 = 2256171137
BaseRepresentation
bin101101010001…
…001100111100
3211022220101022
4231101030330
511014220230
61102203312
7202603331
oct55211474
924286338
1011866940
116775898
123b83538
1325c6577
14180c988
1510961e5
hexb5133c

11866940 has 48 divisors (see below), whose sum is σ = 25873344. Its totient is φ = 4569600.

The previous prime is 11866913. The next prime is 11866949. The reversal of 11866940 is 4966811.

11866940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11866940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11866949) 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, 86552 + ... + 86688.

It is an arithmetic number, because the mean of its divisors is an integer number (539028).

Almost surely, 211866940 is an apocalyptic number.

11866940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11866940 is an abundant number, since it is smaller than the sum of its proper divisors (14006404).

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

11866940 is a wasteful number, since it uses less digits than its factorization.

11866940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 11866940 is about 3444.8425217998. The cubic root of 11866940 is about 228.0935032514.

The spelling of 11866940 in words is "eleven million, eight hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 61 71 122 137 142 244 274 284 305 355 548 610 685 710 1220 1370 1420 2740 4331 8357 8662 9727 16714 17324 19454 21655 33428 38908 41785 43310 48635 83570 86620 97270 167140 194540 593347 1186694 2373388 2966735 5933470 11866940