Search a number
-
+
863380116 = 2232113373569
BaseRepresentation
bin110011011101100…
…010001010010100
32020011121020212100
4303131202022110
53232011130431
6221401122100
730252416124
oct6335421224
92204536770
10863380116
114033a0295
12201189330
13109b44511
1482946c84
1550be64e6
hex33762294

863380116 has 72 divisors (see below), whose sum is σ = 2211529320. Its totient is φ = 283981824.

The previous prime is 863380109. The next prime is 863380169. The reversal of 863380116 is 611083368.

863380116 is a `hidden beast` number, since 8 + 633 + 8 + 0 + 1 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7817616 + 855562500 = 2796^2 + 29250^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1517080 + ... + 1517648.

It is an arithmetic number, because the mean of its divisors is an integer number (30715685).

Almost surely, 2863380116 is an apocalyptic number.

It is an amenable number.

863380116 is an abundant number, since it is smaller than the sum of its proper divisors (1348149204).

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

863380116 is a wasteful number, since it uses less digits than its factorization.

863380116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 863380116 is about 29383.3305804499. The cubic root of 863380116 is about 952.2127978626.

The spelling of 863380116 in words is "eight hundred sixty-three million, three hundred eighty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 373 452 569 678 746 1017 1119 1138 1356 1492 1707 2034 2238 2276 3357 3414 4068 4476 5121 6714 6828 10242 13428 20484 42149 64297 84298 126447 128594 168596 192891 212237 252894 257188 379341 385782 424474 505788 578673 636711 758682 771564 848948 1157346 1273422 1517364 1910133 2314692 2546844 3820266 7640532 23982781 47965562 71948343 95931124 143896686 215845029 287793372 431690058 863380116