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116219180 = 225721110781
BaseRepresentation
bin1101110110101…
…01110100101100
322002200112202002
412323111310230
5214223003210
615310551432
72610563300
oct673256454
9262615662
10116219180
115a66a210
1232b08578
131b10205c
1411613d00
15a30a4a5
hex6ed5d2c

116219180 has 72 divisors (see below), whose sum is σ = 309745296. Its totient is φ = 36220800.

The previous prime is 116219177. The next prime is 116219189. The reversal of 116219180 is 81912611.

It is not an unprimeable number, because it can be changed into a prime (116219189) 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, 5390 + ... + 16170.

It is an arithmetic number, because the mean of its divisors is an integer number (4302018).

Almost surely, 2116219180 is an apocalyptic number.

116219180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10780×10781.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116219180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154872648).

116219180 is an abundant number, since it is smaller than the sum of its proper divisors (193526116).

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

116219180 is a wasteful number, since it uses less digits than its factorization.

116219180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10815 (or 10806 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 29.

The square root of 116219180 is about 10780.4999884050. The cubic root of 116219180 is about 488.0068696964.

The spelling of 116219180 in words is "one hundred sixteen million, two hundred nineteen thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 10781 21562 43124 53905 75467 107810 118591 150934 215620 237182 301868 377335 474364 528269 592955 754670 830137 1056538 1185910 1509340 1660274 2113076 2371820 2641345 3320548 4150685 5282690 5810959 8301370 10565380 11621918 16602740 23243836 29054795 58109590 116219180