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10528120 = 235436121
BaseRepresentation
bin101000001010…
…010101111000
3201210212212101
4220022111320
510143344440
61013353144
7155326141
oct50122570
921725771
1010528120
115a40a29
1236387b4
132248075
141580ac8
15dce69a
hexa0a578

10528120 has 32 divisors (see below), whose sum is σ = 24243120. Its totient is φ = 4112640.

The previous prime is 10528099. The next prime is 10528121. The reversal of 10528120 is 2182501.

It is a super-2 number, since 2×105281202 = 221682621468800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10528121) 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, 1341 + ... + 4780.

Almost surely, 210528120 is an apocalyptic number.

10528120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10528120 is an abundant number, since it is smaller than the sum of its proper divisors (13715000).

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

10528120 is a wasteful number, since it uses less digits than its factorization.

10528120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6175 (or 6171 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 10528120 is about 3244.7064582178. The cubic root of 10528120 is about 219.1712622386.

It can be divided in two parts, 10528 and 120, that added together give a cube (10648 = 223).

The spelling of 10528120 in words is "ten million, five hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 6121 12242 24484 30605 48968 61210 122420 244840 263203 526406 1052812 1316015 2105624 2632030 5264060 10528120