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956000020 = 22577361837
BaseRepresentation
bin111000111110110…
…110011100010100
32110121212211111011
4320332312130110
53424214000040
6234510222004
732455603033
oct7076663424
92417784434
10956000020
11450700a68
122281b4904
131230a2ab1
1490d7671a
1558dde3ea
hex38fb6714

956000020 has 24 divisors (see below), whose sum is σ = 2010229704. Its totient is φ = 381899136.

The previous prime is 956000009. The next prime is 956000027. The reversal of 956000020 is 20000659.

It can be written as a sum of positive squares in 4 ways, for example, as 695556 + 955304464 = 834^2 + 30908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 955999955 and 956000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15459 + ... + 46378.

It is an arithmetic number, because the mean of its divisors is an integer number (83759571).

Almost surely, 2956000020 is an apocalyptic number.

956000020 is the 15460-th decagonal number.

It is an amenable number.

956000020 is an abundant number, since it is smaller than the sum of its proper divisors (1054229684).

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

956000020 is a wasteful number, since it uses less digits than its factorization.

956000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62619 (or 62617 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 956000020 is about 30919.2499909037. The cubic root of 956000020 is about 985.1128114242.

Adding to 956000020 its reverse (20000659), we get a palindrome (976000679).

The spelling of 956000020 in words is "nine hundred fifty-six million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 773 1546 3092 3865 7730 15460 61837 123674 247348 309185 618370 1236740 47800001 95600002 191200004 239000005 478000010 956000020