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1020057822 = 2327531031483
BaseRepresentation
bin111100110011001…
…101100011011110
32122002102022021100
4330303031203132
54042113322242
6245115213530
734164230340
oct7463154336
92562368240
101020057822
114838835a3
122457472a6
13133440a14
149968d290
155e84454c
hex3cccd8de

1020057822 has 96 divisors (see below), whose sum is σ = 2600252928. Its totient is φ = 282979008.

The previous prime is 1020057809. The next prime is 1020057853. The reversal of 1020057822 is 2287500201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687093 + ... + 688575.

It is an arithmetic number, because the mean of its divisors is an integer number (27085968).

Almost surely, 21020057822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020057822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300126464).

1020057822 is an abundant number, since it is smaller than the sum of its proper divisors (1580195106).

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

1020057822 is a wasteful number, since it uses less digits than its factorization.

1020057822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1020057822 is about 31938.3440710379. The cubic root of 1020057822 is about 1006.6417304224.

The spelling of 1020057822 in words is "one billion, twenty million, fifty-seven thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 103 106 126 159 206 309 318 371 477 618 721 742 927 954 1113 1442 1483 1854 2163 2226 2966 3339 4326 4449 5459 6489 6678 8898 10381 10918 12978 13347 16377 20762 26694 31143 32754 38213 49131 62286 76426 78599 93429 98262 114639 152749 157198 186858 229278 235797 305498 343917 458247 471594 550193 687834 707391 916494 1069243 1100386 1374741 1414782 1650579 2138486 2749482 3207729 3301158 4951737 6415458 8095697 9623187 9903474 16191394 19246374 24287091 48574182 56669879 72861273 113339758 145722546 170009637 340019274 510028911 1020057822