Search a number
-
+
11920458 = 23111091657
BaseRepresentation
bin101101011110…
…010001001010
3211102121210110
4231132101022
511022423313
61103255150
7203215344
oct55362112
924377713
1011920458
116802020
123baa4b6
132614a34
141824294
1510a6ec3
hexb5e44a

11920458 has 32 divisors (see below), whose sum is σ = 26262720. Its totient is φ = 3576960.

The previous prime is 11920453. The next prime is 11920459. The reversal of 11920458 is 85402911.

It is a happy number.

11920458 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11920453) 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, 6366 + ... + 8022.

It is an arithmetic number, because the mean of its divisors is an integer number (820710).

Almost surely, 211920458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11920458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13131360).

11920458 is an abundant number, since it is smaller than the sum of its proper divisors (14342262).

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

11920458 is a wasteful number, since it uses less digits than its factorization.

11920458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 11920458 is about 3452.6016277584. The cubic root of 11920458 is about 228.4358774789.

The spelling of 11920458 in words is "eleven million, nine hundred twenty thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 66 109 218 327 654 1199 1657 2398 3314 3597 4971 7194 9942 18227 36454 54681 109362 180613 361226 541839 1083678 1986743 3973486 5960229 11920458