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636085980 = 223354432659
BaseRepresentation
bin100101111010011…
…110011011011100
31122022220111221000
4211322132123130
52300314222410
6143041310300
721522433035
oct4572363334
91568814830
10636085980
112a70658a2
12159035390
13a1a21a4a
146069ba8c
153ac99dc0
hex25e9e6dc

636085980 has 96 divisors (see below), whose sum is σ = 1984147200. Its totient is φ = 169176384.

The previous prime is 636085951. The next prime is 636085997. The reversal of 636085980 is 89580636.

636085980 is a `hidden beast` number, since 636 + 0 + 8 + 5 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 237891 + ... + 240549.

It is an arithmetic number, because the mean of its divisors is an integer number (20668200).

Almost surely, 2636085980 is an apocalyptic number.

636085980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 636085980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992073600).

636085980 is an abundant number, since it is smaller than the sum of its proper divisors (1348061220).

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

636085980 is a wasteful number, since it uses less digits than its factorization.

636085980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 636085980 is about 25220.7450326115. The cubic root of 636085980 is about 860.0135115959.

The spelling of 636085980 in words is "six hundred thirty-six million, eighty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 443 540 886 1329 1772 2215 2658 2659 3987 4430 5316 5318 6645 7974 7977 8860 10636 11961 13290 13295 15948 15954 19935 23922 23931 26580 26590 31908 39870 39885 47844 47862 53180 59805 71793 79740 79770 95724 119610 119655 143586 159540 239220 239310 287172 358965 478620 717930 1177937 1435860 2355874 3533811 4711748 5889685 7067622 10601433 11779370 14135244 17669055 21202866 23558740 31804299 35338110 42405732 53007165 63608598 70676220 106014330 127217196 159021495 212028660 318042990 636085980