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10559380 = 22513172389
BaseRepresentation
bin101000010001…
…111110010100
3201212110202011
4220101332110
510200400010
61014154004
7155516236
oct50217624
921773664
1010559380
115a62467
123652904
132259370
14158c256
15dd8a8a
hexa11f94

10559380 has 48 divisors (see below), whose sum is σ = 25295760. Its totient is φ = 3667968.

The previous prime is 10559371. The next prime is 10559387. The reversal of 10559380 is 8395501.

It can be written as a sum of positive squares in 8 ways, for example, as 712336 + 9847044 = 844^2 + 3138^2 .

It is a super-2 number, since 2×105593802 = 223001011968800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10559387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3226 + ... + 5614.

It is an arithmetic number, because the mean of its divisors is an integer number (526995).

Almost surely, 210559380 is an apocalyptic number.

10559380 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 10559380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647880).

10559380 is an abundant number, since it is smaller than the sum of its proper divisors (14736380).

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

10559380 is a wasteful number, since it uses less digits than its factorization.

10559380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 10559380 is about 3249.5199645486. The cubic root of 10559380 is about 219.3879683516.

The spelling of 10559380 in words is "ten million, five hundred fifty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 2389 4420 4778 9556 11945 23890 31057 40613 47780 62114 81226 124228 155285 162452 203065 310570 406130 527969 621140 812260 1055938 2111876 2639845 5279690 10559380