Search a number
-
+
10564020 = 223456521
BaseRepresentation
bin101000010011…
…000110110100
3201212201010000
4220103012310
510201022040
61014231300
7155535615
oct50230664
921781100
1010564020
115a659a5
123655530
13225b4cc
14158dc0c
15dda130
hexa131b4

10564020 has 60 divisors (see below), whose sum is σ = 33144804. Its totient is φ = 2816640.

The previous prime is 10563997. The next prime is 10564027. The reversal of 10564020 is 2046501.

It is a happy number.

10564020 is a `hidden beast` number, since 1 + 0 + 5 + 640 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7193124 + 3370896 = 2682^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×105640202 = 223197037120800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10563984 and 10564002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10564027) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1641 + ... + 4880.

Almost surely, 210564020 is an apocalyptic number.

10564020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10564020 is an abundant number, since it is smaller than the sum of its proper divisors (22580784).

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

10564020 is a wasteful number, since it uses less digits than its factorization.

10564020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10564020 is about 3250.2338377415. The cubic root of 10564020 is about 219.4200981138.

The spelling of 10564020 in words is "ten million, five hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6521 13042 19563 26084 32605 39126 58689 65210 78252 97815 117378 130420 176067 195630 234756 293445 352134 391260 528201 586890 704268 880335 1056402 1173780 1760670 2112804 2641005 3521340 5282010 10564020