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1045883930 = 2572131131453
BaseRepresentation
bin111110010101101…
…110110000011010
32200220000102000212
4332111232300122
54120221241210
6251440531122
734626603200
oct7625566032
92626012025
101045883930
11497413093
12252320aa2
131388b3c40
149cc93070
1561c46805
hex3e56ec1a

1045883930 has 96 divisors (see below), whose sum is σ = 2380919184. Its totient is φ = 327849984.

The previous prime is 1045883863. The next prime is 1045883941. The reversal of 1045883930 is 393885401.

It can be written as a sum of positive squares in 8 ways, for example, as 246521401 + 799362529 = 15701^2 + 28273^2 .

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 719084 + ... + 720536.

Almost surely, 21045883930 is an apocalyptic number.

1045883930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1045883930 is an abundant number, since it is smaller than the sum of its proper divisors (1335035254).

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

1045883930 is a wasteful number, since it uses less digits than its factorization.

1045883930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 1045883930 is about 32340.1287876224. The cubic root of 1045883930 is about 1015.0665037678.

The spelling of 1045883930 in words is "one billion, forty-five million, eight hundred eighty-three thousand, nine hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 113 130 182 226 245 455 490 565 637 791 910 1130 1274 1453 1469 1582 2906 2938 3185 3955 5537 6370 7265 7345 7910 10171 10283 11074 14530 14690 18889 20342 20566 27685 37778 50855 51415 55370 71197 71981 94445 101710 102830 132223 142394 143962 164189 188890 264446 328378 355985 359905 661115 711970 719810 820945 925561 1149323 1322230 1641890 1851122 2134457 2298646 4268914 4627805 5746615 8045261 9255610 10672285 11493230 14941199 16090522 21344570 29882398 40226305 74705995 80452610 104588393 149411990 209176786 522941965 1045883930