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10581940 = 225529097
BaseRepresentation
bin101000010111…
…011110110100
3201220121200201
4220113132310
510202110230
61014450244
7155642065
oct50273664
921817621
1010581940
115a78406
123663984
132266705
14159656c
15de05ca
hexa177b4

10581940 has 12 divisors (see below), whose sum is σ = 22222116. Its totient is φ = 4232768.

The previous prime is 10581937. The next prime is 10581953. The reversal of 10581940 is 4918501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1653796 + 8928144 = 1286^2 + 2988^2 .

It is a super-2 number, since 2×105819402 = 223954908327200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10581899 and 10581908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 264529 + ... + 264568.

It is an arithmetic number, because the mean of its divisors is an integer number (1851843).

Almost surely, 210581940 is an apocalyptic number.

10581940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10581940 is an abundant number, since it is smaller than the sum of its proper divisors (11640176).

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

10581940 is a wasteful number, since it uses less digits than its factorization.

10581940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529106 (or 529104 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 10581940 is about 3252.9893943879. The cubic root of 10581940 is about 219.5440972142.

The spelling of 10581940 in words is "ten million, five hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 529097 1058194 2116388 2645485 5290970 10581940