Search a number
-
+
10866912 = 2537103157
BaseRepresentation
bin101001011101…
…000011100000
3202110002121020
4221131003200
510240220122
61024525440
7161236650
oct51350340
922402536
1010866912
116152521
123780880
132336334
14162c360
15e49c5c
hexa5d0e0

10866912 has 96 divisors (see below), whose sum is σ = 33126912. Its totient is φ = 3055104.

The previous prime is 10866899. The next prime is 10866913. The reversal of 10866912 is 21966801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10866913) 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, 69138 + ... + 69294.

It is an arithmetic number, because the mean of its divisors is an integer number (345072).

Almost surely, 210866912 is an apocalyptic number.

10866912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3296×3297.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10866912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16563456).

10866912 is an abundant number, since it is smaller than the sum of its proper divisors (22260000).

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

10866912 is a wasteful number, since it uses less digits than its factorization.

10866912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 10866912 is about 3296.4999620810. The cubic root of 10866912 is about 221.4974428449.

The spelling of 10866912 in words is "ten million, eight hundred sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 103 112 157 168 206 224 309 314 336 412 471 618 628 672 721 824 942 1099 1236 1256 1442 1648 1884 2163 2198 2472 2512 2884 3296 3297 3768 4326 4396 4944 5024 5768 6594 7536 8652 8792 9888 11536 13188 15072 16171 17304 17584 23072 26376 32342 34608 35168 48513 52752 64684 69216 97026 105504 113197 129368 194052 226394 258736 339591 388104 452788 517472 679182 776208 905576 1358364 1552416 1811152 2716728 3622304 5433456 10866912