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466980780 = 22357322691
BaseRepresentation
bin11011110101011…
…000111110101100
31012112201002012110
4123311120332230
51424021341110
6114201004020
714400162000
oct3365307654
91175632173
10466980780
1121a664632
12110483610
1375993ab6
144603c700
152aee4a20
hex1bd58fac

466980780 has 96 divisors (see below), whose sum is σ = 1524902400. Its totient is φ = 106733760.

The previous prime is 466980779. The next prime is 466980791. The reversal of 466980780 is 87089664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9235 + ... + 31925.

It is an arithmetic number, because the mean of its divisors is an integer number (15884400).

Almost surely, 2466980780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466980780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762451200).

466980780 is an abundant number, since it is smaller than the sum of its proper divisors (1057921620).

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

466980780 is a wasteful number, since it uses less digits than its factorization.

466980780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22724 (or 22708 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 466980780 is about 21609.7380826330. The cubic root of 466980780 is about 775.8295827106.

The spelling of 466980780 in words is "four hundred sixty-six million, nine hundred eighty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2940 3430 4116 5145 6860 10290 20580 22691 45382 68073 90764 113455 136146 158837 226910 272292 317674 340365 453820 476511 635348 680730 794185 953022 1111859 1361460 1588370 1906044 2223718 2382555 3176740 3335577 4447436 4765110 5559295 6671154 7783013 9530220 11118590 13342308 15566026 16677885 22237180 23349039 31132052 33355770 38915065 46698078 66711540 77830130 93396156 116745195 155660260 233490390 466980780