Search a number
-
+
2111368680 = 23355217219
BaseRepresentation
bin111110111011000…
…1110110111101000
312110010220122100000
41331312032313220
513311002244210
6545301543000
7103215223551
oct17566166750
95403818300
102111368680
119938a35a3
124ab114a60
1327856b6a5
141605a9328
15c5560ac0
hex7dd8ede8

2111368680 has 96 divisors (see below), whose sum is σ = 7116127200. Its totient is φ = 563029056.

The previous prime is 2111368663. The next prime is 2111368681. The reversal of 2111368680 is 868631112.

2111368680 is a `hidden beast` number, since 211 + 1 + 368 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2111368681) 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, 98890 + ... + 118329.

It is an arithmetic number, because the mean of its divisors is an integer number (74126325).

Almost surely, 22111368680 is an apocalyptic number.

2111368680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111368680 is an abundant number, since it is smaller than the sum of its proper divisors (5004758520).

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

2111368680 is a wasteful number, since it uses less digits than its factorization.

2111368680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217245 (or 217229 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2111368680 is about 45949.6319898212. The cubic root of 2111368680 is about 1282.8858795756.

Adding to 2111368680 its reverse (868631112), we get a palindrome (2979999792).

The spelling of 2111368680 in words is "two billion, one hundred eleven million, three hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 217219 434438 651657 868876 1086095 1303314 1737752 1954971 2172190 2606628 3258285 3909942 4344380 5213256 5864913 6516570 7819884 8688760 9774855 11729826 13033140 15639768 17594739 19549710 23459652 26066280 29324565 35189478 39099420 46919304 52784217 58649130 70378956 78198840 87973695 105568434 117298260 140757912 175947390 211136868 234596520 263921085 351894780 422273736 527842170 703789560 1055684340 2111368680