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1020809466 = 23519227487
BaseRepresentation
bin111100110110000…
…101000011111010
32122010211111100000
4330312011003322
54042311400331
6245143253430
734203510615
oct7466050372
92563744300
101020809466
11484247296
12245a4a276
13133644b91
149980717c
155e9420e6
hex3cd850fa

1020809466 has 96 divisors (see below), whose sum is σ = 2430005760. Its totient is φ = 320281776.

The previous prime is 1020809459. The next prime is 1020809479. The reversal of 1020809466 is 6649080201.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020809466.

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, 2095875 + ... + 2096361.

It is an arithmetic number, because the mean of its divisors is an integer number (25312560).

Almost surely, 21020809466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020809466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215002880).

1020809466 is an abundant number, since it is smaller than the sum of its proper divisors (1409196294).

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

1020809466 is a wasteful number, since it uses less digits than its factorization.

1020809466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1020809466 is about 31950.1090138985. The cubic root of 1020809466 is about 1006.8889224379. Note that the first 3 decimals are identical.

Adding to 1020809466 its reverse (6649080201), we get a palindrome (7669889667).

The spelling of 1020809466 in words is "one billion, twenty million, eight hundred nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 227 243 342 454 486 487 513 681 974 1026 1362 1461 1539 2043 2922 3078 4086 4313 4383 4617 6129 8626 8766 9234 9253 12258 12939 13149 18387 18506 25878 26298 27759 36774 38817 39447 55161 55518 77634 78894 83277 110322 110549 116451 118341 166554 221098 232902 236682 249831 331647 349353 499662 663294 698706 749493 994941 1048059 1498986 1989882 2096118 2100431 2248479 2984823 4200862 4496958 5969646 6301293 8954469 12602586 17908938 18903879 26863407 37807758 53726814 56711637 113423274 170134911 340269822 510404733 1020809466