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10245024 = 253235573
BaseRepresentation
bin100111000101…
…001110100000
3201021111112100
4213011032200
510110320044
61003330400
7153036606
oct47051640
921244470
1010245024
115868269
123520a00
13217925a
141509876
15d75869
hex9c53a0

10245024 has 36 divisors (see below), whose sum is σ = 29135106. Its totient is φ = 3414912.

The previous prime is 10245023. The next prime is 10245061. The reversal of 10245024 is 42054201.

It can be written as a sum of positive squares in only one way, i.e., 9809424 + 435600 = 3132^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10244988 and 10245006.

It is not an unprimeable number, because it can be changed into a prime (10245023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17499 + ... + 18074.

Almost surely, 210245024 is an apocalyptic number.

It is an amenable number.

10245024 is an abundant number, since it is smaller than the sum of its proper divisors (18890082).

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

10245024 is a wasteful number, since it uses less digits than its factorization.

10245024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35589 (or 35578 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10245024 is about 3200.7849037385. The cubic root of 10245024 is about 217.1889171517.

Adding to 10245024 its reverse (42054201), we get a palindrome (52299225).

The spelling of 10245024 in words is "ten million, two hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35573 71146 106719 142292 213438 284584 320157 426876 569168 640314 853752 1138336 1280628 1707504 2561256 3415008 5122512 10245024