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860604416 = 2117173347
BaseRepresentation
bin110011010010111…
…100100000000000
32012222101020022122
4303102330200000
53230303320131
6221221423412
730220005530
oct6322744000
92188336278
10860604416
11401874921
1220026ab68
131093b1ca9
14824234c0
1550848d7b
hex334bc800

860604416 has 96 divisors (see below), whose sum is σ = 1983683520. Its totient is φ = 365641728.

The previous prime is 860604401. The next prime is 860604427. The reversal of 860604416 is 614406068.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2479955 + ... + 2480301.

It is an arithmetic number, because the mean of its divisors is an integer number (20663370).

Almost surely, 2860604416 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 860604416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991841760).

860604416 is an abundant number, since it is smaller than the sum of its proper divisors (1123079104).

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

860604416 is a wasteful number, since it uses less digits than its factorization.

860604416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 860604416 is about 29336.0599944846. The cubic root of 860604416 is about 951.1912723138.

The spelling of 860604416 in words is "eight hundred sixty million, six hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 173 224 256 346 347 448 512 692 694 896 1024 1211 1384 1388 1792 2048 2422 2429 2768 2776 3584 4844 4858 5536 5552 7168 9688 9716 11072 11104 14336 19376 19432 22144 22208 38752 38864 44288 44416 60031 77504 77728 88576 88832 120062 155008 155456 177152 177664 240124 310016 310912 354304 355328 420217 480248 620032 621824 710656 840434 960496 1240064 1243648 1680868 1920992 2480128 2487296 3361736 3841984 4974592 6723472 7683968 13446944 15367936 26893888 30735872 53787776 61471744 107575552 122943488 215151104 430302208 860604416