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870191140 = 225713236779
BaseRepresentation
bin110011110111100…
…001000000100100
32020122102021211111
4303313201000210
53240232104030
6222203114404
730364334260
oct6367410044
92218367744
10870191140
11407222535
12203512a04
1310b38a700
14837db0a0
15515de62a
hex33de1024

870191140 has 72 divisors (see below), whose sum is σ = 2261528640. Its totient is φ = 275393664.

The previous prime is 870191099. The next prime is 870191149. The reversal of 870191140 is 41191078.

It is not an unprimeable number, because it can be changed into a prime (870191149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5271 + ... + 42049.

It is an arithmetic number, because the mean of its divisors is an integer number (31410120).

Almost surely, 2870191140 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 870191140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130764320).

870191140 is an abundant number, since it is smaller than the sum of its proper divisors (1391337500).

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

870191140 is a wasteful number, since it uses less digits than its factorization.

870191140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36821 (or 36806 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 31.

The square root of 870191140 is about 29499.0023560120. The cubic root of 870191140 is about 954.7101776717.

The spelling of 870191140 in words is "eight hundred seventy million, one hundred ninety-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1183 1690 1820 2366 3380 4732 5915 11830 23660 36779 73558 147116 183895 257453 367790 478127 514906 735580 956254 1029812 1287265 1912508 2390635 2574530 3346889 4781270 5149060 6215651 6693778 9562540 12431302 13387556 16734445 24862604 31078255 33468890 43509557 62156510 66937780 87019114 124313020 174038228 217547785 435095570 870191140