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801745980 = 223574146559
BaseRepresentation
bin101111110010011…
…010110000111100
32001212121220201120
4233302122300330
53120221332410
6211320110540
725603504560
oct5762326074
92055556646
10801745980
11381623692
121a4605450
13ca144809
14786a16a0
154a5be570
hex2fc9ac3c

801745980 has 96 divisors (see below), whose sum is σ = 2628218880. Its totient is φ = 178782720.

The previous prime is 801745951. The next prime is 801745991. The reversal of 801745980 is 89547108.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 6060 + ... + 40499.

It is an arithmetic number, because the mean of its divisors is an integer number (27377280).

Almost surely, 2801745980 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 801745980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314109440).

801745980 is an abundant number, since it is smaller than the sum of its proper divisors (1826472900).

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

801745980 is a wasteful number, since it uses less digits than its factorization.

801745980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46619 (or 46617 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 801745980 is about 28315.1192828143. The cubic root of 801745980 is about 928.9926194500.

The spelling of 801745980 in words is "eight hundred one million, seven hundred forty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 5740 8610 17220 46559 93118 139677 186236 232795 279354 325913 465590 558708 651826 698385 931180 977739 1303652 1396770 1629565 1908919 1955478 2793540 3259130 3817838 3910956 4888695 5726757 6518260 7635676 9544595 9777390 11453514 13362433 19089190 19554780 22907028 26724866 28633785 38178380 40087299 53449732 57267570 66812165 80174598 114535140 133624330 160349196 200436495 267248660 400872990 801745980