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1056758440 = 23559447779
BaseRepresentation
bin111110111111001…
…101101010101000
32201122110220001111
4332333031222220
54131012232230
6252510000104
735121204253
oct7677155250
92648426044
101056758440
114a2570291
12255aa6034
1313ac2086a
14a04c409a
1562b9392a
hex3efcdaa8

1056758440 has 32 divisors (see below), whose sum is σ = 2418012000. Its totient is φ = 415537984.

The previous prime is 1056758413. The next prime is 1056758453. The reversal of 1056758440 is 448576501.

It is a super-2 number, since 2×10567584402 = 2233476801022467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1056758393 and 1056758402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221530 + ... + 226249.

It is an arithmetic number, because the mean of its divisors is an integer number (75562875).

Almost surely, 21056758440 is an apocalyptic number.

1056758440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056758440 is an abundant number, since it is smaller than the sum of its proper divisors (1361253560).

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

1056758440 is a wasteful number, since it uses less digits than its factorization.

1056758440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447849 (or 447845 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 1056758440 is about 32507.8212127482. The cubic root of 1056758440 is about 1018.5724101597.

The spelling of 1056758440 in words is "one billion, fifty-six million, seven hundred fifty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 447779 895558 1791116 2238895 3582232 4477790 8955580 17911160 26418961 52837922 105675844 132094805 211351688 264189610 528379220 1056758440