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2160763020 = 2233513223677
BaseRepresentation
bin1000000011001010…
…1010000010001100
312120120212010122000
42000302222002030
513411123404040
6554224352300
7104355116433
oct20062520214
95516763560
102160763020
11a09770269
12503775690
13285874200
14166d8611a
15c9a6b130
hex80caa08c

2160763020 has 144 divisors (see below), whose sum is σ = 7279564320. Its totient is φ = 531857664.

The previous prime is 2160762997. The next prime is 2160763021. The reversal of 2160763020 is 203670612.

It is a happy number.

2160763020 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 7 + 630 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2160763021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79422 + ... + 103098.

It is an arithmetic number, because the mean of its divisors is an integer number (50552530).

Almost surely, 22160763020 is an apocalyptic number.

2160763020 is a gapful number since it is divisible by the number (20) 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 2160763020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639782160).

2160763020 is an abundant number, since it is smaller than the sum of its proper divisors (5118801300).

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

2160763020 is a wasteful number, since it uses less digits than its factorization.

2160763020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23721 (or 23700 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2160763020 is about 46484.0082178807. The cubic root of 2160763020 is about 1292.8130069107.

The spelling of 2160763020 in words is "two billion, one hundred sixty million, seven hundred sixty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 6084 7020 7605 9126 10140 15210 18252 22815 23677 30420 45630 47354 71031 91260 94708 118385 142062 213093 236770 284124 307801 355155 426186 473540 615602 639279 710310 852372 923403 1065465 1231204 1278558 1420620 1539005 1846806 2130930 2557116 2770209 3078010 3196395 3693612 4001413 4261860 4617015 5540418 6156020 6392790 8002826 8310627 9234030 11080836 12004239 12785580 13851045 16005652 16621254 18468060 20007065 24008478 27702090 33242508 36012717 40014130 41553135 48016956 55404180 60021195 72025434 80028260 83106270 108038151 120042390 144050868 166212540 180063585 216076302 240084780 360127170 432152604 540190755 720254340 1080381510 2160763020