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10528240 = 2451011303
BaseRepresentation
bin101000001010…
…010111110000
3201210220000211
4220022113300
510143400430
61013353504
7155326402
oct50122760
921726024
1010528240
115a41028
123638894
132248138
141580b72
15dce72a
hexa0a5f0

10528240 has 40 divisors (see below), whose sum is σ = 24739488. Its totient is φ = 4166400.

The previous prime is 10528237. The next prime is 10528289. The reversal of 10528240 is 4282501.

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

It is a super-2 number, since 2×105282402 = 221687674995200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 4.

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, 7429 + ... + 8731.

Almost surely, 210528240 is an apocalyptic number.

10528240 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 10528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369744).

10528240 is an abundant number, since it is smaller than the sum of its proper divisors (14211248).

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

10528240 is a wasteful number, since it uses less digits than its factorization.

10528240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 10528240 is about 3244.7249498224. The cubic root of 10528240 is about 219.1720949435.

The spelling of 10528240 in words is "ten million, five hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1303 1616 2020 2606 4040 5212 6515 8080 10424 13030 20848 26060 52120 104240 131603 263206 526412 658015 1052824 1316030 2105648 2632060 5264120 10528240