Search a number
-
+
10866372 = 22311191431
BaseRepresentation
bin101001011100…
…111011000100
3202110001212020
4221130323010
510240210442
61024523140
7161235246
oct51347304
922401766
1010866372
116152080
1237804b0
13233600a
14162c096
15e499ec
hexa5cec4

10866372 has 48 divisors (see below), whose sum is σ = 27869184. Its totient is φ = 3268000.

The previous prime is 10866343. The next prime is 10866403. The reversal of 10866372 is 27366801.

10866372 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24997 + ... + 25427.

It is an arithmetic number, because the mean of its divisors is an integer number (580608).

Almost surely, 210866372 is an apocalyptic number.

10866372 is a gapful number since it is divisible by the number (12) 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 10866372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592).

10866372 is an abundant number, since it is smaller than the sum of its proper divisors (17002812).

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

10866372 is a wasteful number, since it uses less digits than its factorization.

10866372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 10866372 is about 3296.4180560117. The cubic root of 10866372 is about 221.4937738909.

The spelling of 10866372 in words is "ten million, eight hundred sixty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 191 382 431 573 764 862 1146 1293 1724 2101 2292 2586 4202 4741 5172 6303 8404 9482 12606 14223 18964 25212 28446 56892 82321 164642 246963 329284 493926 905531 987852 1811062 2716593 3622124 5433186 10866372