Search a number
-
+
10920366 = 233434703
BaseRepresentation
bin101001101010…
…000110101110
3202112210221000
4221222012232
510243422431
61030021130
7161551542
oct51520656
922483830
1010920366
1161896a6
1237a77a6
132354772
141643a22
15e5a9e6
hexa6a1ae

10920366 has 32 divisors (see below), whose sum is σ = 24837120. Its totient is φ = 3554712.

The previous prime is 10920361. The next prime is 10920367. The reversal of 10920366 is 66302901.

It is a happy number.

10920366 is digitally balanced in base 2, because in such base 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10920361) 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, 30 + ... + 4673.

It is an arithmetic number, because the mean of its divisors is an integer number (776160).

Almost surely, 210920366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10920366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418560).

10920366 is an abundant number, since it is smaller than the sum of its proper divisors (13916754).

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

10920366 is a wasteful number, since it uses less digits than its factorization.

10920366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 10920366 is about 3304.5977062269. The cubic root of 10920366 is about 221.8600286400.

The spelling of 10920366 in words is "ten million, nine hundred twenty thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 4703 9406 14109 28218 42327 84654 126981 202229 253962 404458 606687 1213374 1820061 3640122 5460183 10920366