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1056116500 = 225317124249
BaseRepresentation
bin111110111100110…
…000111100010100
32201121021021110221
4332330300330110
54130331212000
6252444124124
735112561565
oct7674607424
92647237427
101056116500
114a2171a5a
12255836644
1313aa5760a
14a039816c
1562ab861a
hex3ef30f14

1056116500 has 48 divisors (see below), whose sum is σ = 2442258000. Its totient is φ = 397593600.

The previous prime is 1056116497. The next prime is 1056116513. The reversal of 1056116500 is 56116501.

It can be written as a sum of positive squares in 8 ways, for example, as 112275216 + 943841284 = 10596^2 + 30722^2 .

It is a super-2 number, since 2×10561165002 = 2230764123144500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53625 + ... + 70624.

It is an arithmetic number, because the mean of its divisors is an integer number (50880375).

Almost surely, 21056116500 is an apocalyptic number.

1056116500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056116500 is an abundant number, since it is smaller than the sum of its proper divisors (1386141500).

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

1056116500 is a wasteful number, since it uses less digits than its factorization.

1056116500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124285 (or 124273 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 1056116500 is about 32497.9460889454. The cubic root of 1056116500 is about 1018.3661205632.

Subtracting from 1056116500 its reverse (56116501), we obtain a palindrome (999999999).

The spelling of 1056116500 in words is "one billion, fifty-six million, one hundred sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1700 2125 4250 8500 124249 248498 496996 621245 1242490 2112233 2484980 3106225 4224466 6212450 8448932 10561165 12424900 15531125 21122330 31062250 42244660 52805825 62124500 105611650 211223300 264029125 528058250 1056116500