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2160104016 = 243710760083
BaseRepresentation
bin1000000011000000…
…1001001001010000
312120112121122122110
42000300021021100
513410441312031
6554202305320
7104346403230
oct20060111120
95515548573
102160104016
11a09360134
125034b8240
132856a3275
14166c53cc0
15c998ac46
hex80c09250

2160104016 has 80 divisors (see below), whose sum is σ = 6437159424. Its totient is φ = 611394432.

The previous prime is 2160103999. The next prime is 2160104017. The reversal of 2160104016 is 6104010612.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2160103983 and 2160104001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2160104017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5911 + ... + 65993.

Almost surely, 22160104016 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 2160104016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218579712).

2160104016 is an abundant number, since it is smaller than the sum of its proper divisors (4277055408).

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

2160104016 is a wasteful number, since it uses less digits than its factorization.

2160104016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60208 (or 60202 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2160104016 is about 46476.9191750056. The cubic root of 2160104016 is about 1292.6815632860.

Adding to 2160104016 its reverse (6104010612), we get a palindrome (8264114628).

The spelling of 2160104016 in words is "two billion, one hundred sixty million, one hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 1284 1498 1712 2247 2568 2996 4494 5136 5992 8988 11984 17976 35952 60083 120166 180249 240332 360498 420581 480664 720996 841162 961328 1261743 1441992 1682324 2523486 2883984 3364648 5046972 6428881 6729296 10093944 12857762 19286643 20187888 25715524 38573286 45002167 51431048 77146572 90004334 102862096 135006501 154293144 180008668 270013002 308586288 360017336 540026004 720034672 1080052008 2160104016