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11058640 = 2451371009
BaseRepresentation
bin101010001011…
…110111010000
3202210211121021
4222023313100
510312334030
61033005224
7162665635
oct52136720
922724537
1011058640
11627357a
123853814
1323a2698
14167c18c
15e8697a
hexa8bdd0

11058640 has 40 divisors (see below), whose sum is σ = 25924680. Its totient is φ = 4386816.

The previous prime is 11058637. The next prime is 11058659. The reversal of 11058640 is 4685011.

11058640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 10291264 = 876^2 + 3208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10456 + ... + 11464.

It is an arithmetic number, because the mean of its divisors is an integer number (648117).

Almost surely, 211058640 is an apocalyptic number.

11058640 is a gapful number since it is divisible by the number (10) 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 11058640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12962340).

11058640 is an abundant number, since it is smaller than the sum of its proper divisors (14866040).

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

11058640 is a wasteful number, since it uses less digits than its factorization.

11058640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 11058640 is about 3325.4533525521. The cubic root of 11058640 is about 222.7925034034.

The spelling of 11058640 in words is "eleven million, fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1009 1096 1370 2018 2192 2740 4036 5045 5480 8072 10090 10960 16144 20180 40360 80720 138233 276466 552932 691165 1105864 1382330 2211728 2764660 5529320 11058640