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2116065700 = 225275095939
BaseRepresentation
bin111111000100000…
…1001100110100100
312110110202021102201
41332020021212210
513313203100300
6545550344244
7103303155520
oct17610114644
95413667381
102116065700
11996511531
124b07bb084
132795245a8
1416106cd80
15c5b8c66a
hex7e2099a4

2116065700 has 72 divisors (see below), whose sum is σ = 5259038400. Its totient is φ = 723960960.

The previous prime is 2116065689. The next prime is 2116065709. The reversal of 2116065700 is 75606112.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2116065709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353331 + ... + 359269.

It is an arithmetic number, because the mean of its divisors is an integer number (73042200).

Almost surely, 22116065700 is an apocalyptic number.

2116065700 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 2116065700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629519200).

2116065700 is an abundant number, since it is smaller than the sum of its proper divisors (3142972700).

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

2116065700 is a wasteful number, since it uses less digits than its factorization.

2116065700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 2116065700 is about 46000.7141248916. The cubic root of 2116065700 is about 1283.8364916678.

The spelling of 2116065700 in words is "two billion, one hundred sixteen million, sixty-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 509 700 1018 2036 2545 3563 5090 5939 7126 10180 11878 12725 14252 17815 23756 25450 29695 35630 41573 50900 59390 71260 83146 89075 118780 148475 166292 178150 207865 296950 356300 415730 593900 831460 1039325 2078650 3022951 4157300 6045902 12091804 15114755 21160657 30229510 42321314 60459020 75573775 84642628 105803285 151147550 211606570 302295100 423213140 529016425 1058032850 2116065700