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864176130 = 2325175310657
BaseRepresentation
bin110011100000100…
…100100000000010
32020020002200210100
4303200210200002
53232212114010
6221430143230
730262242636
oct6340444002
92206080710
10864176130
11403894354
122014b1b16
1310a06292c
1482ab2dc6
1550d022c0
hex33824802

864176130 has 96 divisors (see below), whose sum is σ = 2424140784. Its totient is φ = 212779008.

The previous prime is 864176129. The next prime is 864176141. The reversal of 864176130 is 31671468.

864176130 is a `hidden beast` number, since 8 + 641 + 7 + 6 + 1 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 359140401 + 505035729 = 18951^2 + 22473^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75762 + ... + 86418.

Almost surely, 2864176130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864176130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212070392).

864176130 is an abundant number, since it is smaller than the sum of its proper divisors (1559964654).

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

864176130 is a wasteful number, since it uses less digits than its factorization.

864176130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10740 (or 10737 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 864176130 is about 29396.8727928669. The cubic root of 864176130 is about 952.5053464473.

The spelling of 864176130 in words is "eight hundred sixty-four million, one hundred seventy-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 53 85 90 102 106 153 159 170 255 265 306 318 477 510 530 765 795 901 954 1530 1590 1802 2385 2703 4505 4770 5406 8109 9010 10657 13515 16218 21314 27030 31971 40545 53285 63942 81090 95913 106570 159855 181169 191826 319710 362338 479565 543507 564821 905845 959130 1087014 1129642 1630521 1694463 1811690 2717535 2824105 3261042 3388926 5083389 5435070 5648210 8152605 8472315 9601957 10166778 16305210 16944630 19203914 25416945 28805871 48009785 50833890 57611742 86417613 96019570 144029355 172835226 288058710 432088065 864176130