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10538020 = 2252918169
BaseRepresentation
bin101000001100…
…110000100100
3201211101110001
4220030300210
510144204040
61013511044
7155400043
oct50146044
921741401
1010538020
115a48409
123642484
13224c71c
14158455a
15dd259a
hexa0cc24

10538020 has 24 divisors (see below), whose sum is σ = 22894200. Its totient is φ = 4069632.

The previous prime is 10538009. The next prime is 10538023. The reversal of 10538020 is 2083501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 195364 + 10342656 = 442^2 + 3216^2 .

It is a super-5 number, since 5×105380205 (a number of 36 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10538023) 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, 8505 + ... + 9664.

It is an arithmetic number, because the mean of its divisors is an integer number (953925).

Almost surely, 210538020 is an apocalyptic number.

10538020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10538020 is an abundant number, since it is smaller than the sum of its proper divisors (12356180).

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

10538020 is a wasteful number, since it uses less digits than its factorization.

10538020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18207 (or 18205 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10538020 is about 3246.2316614807. The cubic root of 10538020 is about 219.2399391323.

The spelling of 10538020 in words is "ten million, five hundred thirty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 18169 36338 72676 90845 181690 363380 526901 1053802 2107604 2634505 5269010 10538020