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10530144 = 253236563
BaseRepresentation
bin101000001010…
…110101100000
3201210222122100
4220022311200
510143431034
61013410400
7155335062
oct50126540
921728570
1010530144
115a424a9
123639a00
132248c71
141581732
15dd0099
hexa0ad60

10530144 has 36 divisors (see below), whose sum is σ = 29945916. Its totient is φ = 3509952.

The previous prime is 10530137. The next prime is 10530151. The reversal of 10530144 is 44103501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10530137) and next prime (10530151).

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

It is a super-2 number, since 2×105301442 = 221767865321472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17994 + ... + 18569.

It is an arithmetic number, because the mean of its divisors is an integer number (831831).

Almost surely, 210530144 is an apocalyptic number.

It is an amenable number.

10530144 is an abundant number, since it is smaller than the sum of its proper divisors (19415772).

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

10530144 is a wasteful number, since it uses less digits than its factorization.

10530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36579 (or 36568 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10530144 is about 3245.0183358496. The cubic root of 10530144 is about 219.1853063481.

Adding to 10530144 its reverse (44103501), we get a palindrome (54633645).

The spelling of 10530144 in words is "ten million, five hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36563 73126 109689 146252 219378 292504 329067 438756 585008 658134 877512 1170016 1316268 1755024 2632536 3510048 5265072 10530144