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861214380 = 2235137115551
BaseRepresentation
bin110011010101010…
…001011010101100
32020000112020000220
4303111101122230
53230432330010
6221242451340
730225126045
oct6325213254
92200466026
10861214380
11402151124
12200503b50
13109566810
14825418cc
1550919970
hex335516ac

861214380 has 96 divisors (see below), whose sum is σ = 2633637888. Its totient is φ = 208992000.

The previous prime is 861214357. The next prime is 861214381. The reversal of 861214380 is 83412168.

861214380 = 28262 + 28272 + ... + 29292.

861214380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (861214381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47605 + ... + 63155.

It is an arithmetic number, because the mean of its divisors is an integer number (27433728).

Almost surely, 2861214380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861214380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316818944).

861214380 is an abundant number, since it is smaller than the sum of its proper divisors (1772423508).

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

861214380 is a wasteful number, since it uses less digits than its factorization.

861214380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15647 (or 15645 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 861214380 is about 29346.4543003069. The cubic root of 861214380 is about 951.4159420938.

The spelling of 861214380 in words is "eight hundred sixty-one million, two hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 71 78 130 142 156 195 213 260 284 355 390 426 710 780 852 923 1065 1420 1846 2130 2769 3692 4260 4615 5538 9230 11076 13845 15551 18460 27690 31102 46653 55380 62204 77755 93306 155510 186612 202163 233265 311020 404326 466530 606489 808652 933060 1010815 1104121 1212978 2021630 2208242 2425956 3032445 3312363 4043260 4416484 5520605 6064890 6624726 11041210 12129780 13249452 14353573 16561815 22082420 28707146 33123630 43060719 57414292 66247260 71767865 86121438 143535730 172242876 215303595 287071460 430607190 861214380