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10530580 = 2251812909
BaseRepresentation
bin101000001010…
…111100010100
3201211000020111
4220022330110
510143434310
61013412404
7155336254
oct50127424
921730214
1010530580
115a42865
12363a104
132249218
141581964
15dd028a
hexa0af14

10530580 has 24 divisors (see below), whose sum is σ = 22244040. Its totient is φ = 4187520.

The previous prime is 10530577. The next prime is 10530601. The reversal of 10530580 is 8503501.

It can be written as a sum of positive squares in 4 ways, for example, as 367236 + 10163344 = 606^2 + 3188^2 .

It is a super-3 number, since 3×105305803 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 2166 + ... + 5074.

It is an arithmetic number, because the mean of its divisors is an integer number (926835).

Almost surely, 210530580 is an apocalyptic number.

10530580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10530580 is an abundant number, since it is smaller than the sum of its proper divisors (11713460).

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

10530580 is a wasteful number, since it uses less digits than its factorization.

10530580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 10530580 is about 3245.0855150520. The cubic root of 10530580 is about 219.1883314246.

The spelling of 10530580 in words is "ten million, five hundred thirty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 2909 3620 5818 11636 14545 29090 58180 526529 1053058 2106116 2632645 5265290 10530580