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2168117720 = 235294145587
BaseRepresentation
bin1000000100111010…
…1101100111011000
312121002200210101022
42001032231213120
513420014231340
6555050142012
7104504460626
oct20116554730
95532623338
102168117720
11a12933a2a
12506121908
1328724a9c2
14167d3c516
15ca5203b5
hex813ad9d8

2168117720 has 64 divisors (see below), whose sum is σ = 5169679200. Its totient is φ = 816901120.

The previous prime is 2168117687. The next prime is 2168117767. The reversal of 2168117720 is 277118612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24767 + ... + 70353.

Almost surely, 22168117720 is an apocalyptic number.

2168117720 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 2168117720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584839600).

2168117720 is an abundant number, since it is smaller than the sum of its proper divisors (3001561480).

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

2168117720 is a wasteful number, since it uses less digits than its factorization.

2168117720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45668 (or 45664 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 35.

The square root of 2168117720 is about 46563.0510168739. The cubic root of 2168117720 is about 1294.2781505010.

The spelling of 2168117720 in words is "two billion, one hundred sixty-eight million, one hundred seventeen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1640 2378 4756 5945 9512 11890 23780 45587 47560 91174 182348 227935 364696 455870 911740 1322023 1823480 1869067 2644046 3738134 5288092 6610115 7476268 9345335 10576184 13220230 14952536 18690670 26440460 37381340 52880920 54202943 74762680 108405886 216811772 271014715 433623544 542029430 1084058860 2168117720