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10540020 = 2235971811
BaseRepresentation
bin101000001101…
…001111110100
3201211111012010
4220031033310
510144240040
61013524220
7155405631
oct50151764
921744163
1010540020
115a49967
123643670
1322505ca
141585188
15dd2e80
hexa0d3f4

10540020 has 48 divisors (see below), whose sum is σ = 29832768. Its totient is φ = 2780160.

The previous prime is 10540001. The next prime is 10540027. The reversal of 10540020 is 2004501.

10540020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105400202 = 222184043200800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10539978 and 10540005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540027) 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, 4915 + ... + 6725.

It is an arithmetic number, because the mean of its divisors is an integer number (621516).

Almost surely, 210540020 is an apocalyptic number.

10540020 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 10540020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14916384).

10540020 is an abundant number, since it is smaller than the sum of its proper divisors (19292748).

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

10540020 is a wasteful number, since it uses less digits than its factorization.

10540020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10540020 is about 3246.5396963536. The cubic root of 10540020 is about 219.2538080293.

Adding to 10540020 its reverse (2004501), we get a palindrome (12544521).

The spelling of 10540020 in words is "ten million, five hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1811 1940 2910 3622 5433 5820 7244 9055 10866 18110 21732 27165 36220 54330 108660 175667 351334 527001 702668 878335 1054002 1756670 2108004 2635005 3513340 5270010 10540020