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1042642960 = 24525495113
BaseRepresentation
bin111110001001010…
…111100000010000
32200122220202020221
4332021113200100
54113404033320
6251243242424
734560214252
oct7611274020
92618822227
101042642960
114955aa0a7
12251219414
1313801a9c8
149c68bcd2
15618063aa
hex3e257810

1042642960 has 40 divisors (see below), whose sum is σ = 2425570200. Its totient is φ = 416812032.

The previous prime is 1042642891. The next prime is 1042643053. The reversal of 1042642960 is 692462401.

It can be written as a sum of positive squares in 4 ways, for example, as 55175184 + 987467776 = 7428^2 + 31424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 201364 + ... + 206476.

It is an arithmetic number, because the mean of its divisors is an integer number (60639255).

Almost surely, 21042642960 is an apocalyptic number.

1042642960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042642960 is an abundant number, since it is smaller than the sum of its proper divisors (1382927240).

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

1042642960 is a wasteful number, since it uses less digits than its factorization.

1042642960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 1042642960 is about 32289.9823474712. The cubic root of 1042642960 is about 1014.0169277480.

The spelling of 1042642960 in words is "one billion, forty-two million, six hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2549 5098 5113 10196 10226 12745 20392 20452 25490 25565 40784 40904 50980 51130 81808 101960 102260 203920 204520 409040 13033037 26066074 52132148 65165185 104264296 130330370 208528592 260660740 521321480 1042642960