Search a number
-
+
11730448 = 241947821
BaseRepresentation
bin101100101111…
…111000010000
3211001222011001
4230233320100
511000333243
61055231344
7201464362
oct54577020
924058131
1011730448
116692294
123b18554
1325793c2
1417b4d32
15106aa4d
hexb2fe10

11730448 has 40 divisors (see below), whose sum is σ = 24462720. Its totient is φ = 5431680.

The previous prime is 11730409. The next prime is 11730449. The reversal of 11730448 is 84403711.

11730448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11730449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13878 + ... + 14698.

It is an arithmetic number, because the mean of its divisors is an integer number (611568).

Almost surely, 211730448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11730448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12231360).

11730448 is an abundant number, since it is smaller than the sum of its proper divisors (12732272).

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

11730448 is a wasteful number, since it uses less digits than its factorization.

11730448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 11730448 is about 3424.9741604865. The cubic root of 11730448 is about 227.2156282644.

The spelling of 11730448 in words is "eleven million, seven hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 376 752 821 893 1642 1786 3284 3572 6568 7144 13136 14288 15599 31198 38587 62396 77174 124792 154348 249584 308696 617392 733153 1466306 2932612 5865224 11730448