Search a number
-
+
2116188060 = 2235736713729
BaseRepresentation
bin111111000100010…
…0111011110011100
312110110222111021120
41332020213132130
513313221004220
6545553130540
7103304205330
oct17610473634
95413874246
102116188060
11996595458
124b0859a50
132795681ac
141610a17c0
15c5bb3a40
hex7e22779c

2116188060 has 96 divisors (see below), whose sum is σ = 6790748160. Its totient is φ = 482347008.

The previous prime is 2116188037. The next prime is 2116188079. The reversal of 2116188060 is 608816112.

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, 147276 + ... + 161004.

It is an arithmetic number, because the mean of its divisors is an integer number (70736960).

Almost surely, 22116188060 is an apocalyptic number.

2116188060 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 2116188060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395374080).

2116188060 is an abundant number, since it is smaller than the sum of its proper divisors (4674560100).

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

2116188060 is a wasteful number, since it uses less digits than its factorization.

2116188060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14115 (or 14113 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 2116188060 is about 46002.0440850187. The cubic root of 2116188060 is about 1283.8612368361.

The spelling of 2116188060 in words is "two billion, one hundred sixteen million, one hundred eighty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 367 420 734 1101 1468 1835 2202 2569 3670 4404 5138 5505 7340 7707 10276 11010 12845 13729 15414 22020 25690 27458 30828 38535 41187 51380 54916 68645 77070 82374 96103 137290 154140 164748 192206 205935 274580 288309 384412 411870 480515 576618 823740 961030 1153236 1441545 1922060 2883090 5038543 5766180 10077086 15115629 20154172 25192715 30231258 35269801 50385430 60462516 70539602 75578145 100770860 105809403 141079204 151156290 176349005 211618806 302312580 352698010 423237612 529047015 705396020 1058094030 2116188060