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860254720 = 2951325849
BaseRepresentation
bin110011010001100…
…111001000000000
32012221201110121221
4303101213020000
53230211122340
6221210124424
730214021153
oct6321471000
92187643557
10860254720
11401656116
12200120714
131092bba80
1482371c9a
15507ca44a
hex33467200

860254720 has 80 divisors (see below), whose sum is σ = 2221342200. Its totient is φ = 317620224.

The previous prime is 860254709. The next prime is 860254721. The reversal of 860254720 is 27452068.

It can be written as a sum of positive squares in 4 ways, for example, as 255488256 + 604766464 = 15984^2 + 24592^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (860254721) by changing a digit.

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, 20356 + ... + 46204.

Almost surely, 2860254720 is an apocalyptic number.

860254720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 860254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110671100).

860254720 is an abundant number, since it is smaller than the sum of its proper divisors (1361087480).

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

860254720 is a wasteful number, since it uses less digits than its factorization.

860254720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25885 (or 25869 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 860254720 is about 29330.0992156522. The cubic root of 860254720 is about 951.0624199088.

The spelling of 860254720 in words is "eight hundred sixty million, two hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 25849 33280 51698 103396 129245 206792 258490 336037 413584 516980 672074 827168 1033960 1344148 1654336 1680185 2067920 2688296 3308672 3360370 4135840 5376592 6617344 6720740 8271680 10753184 13234688 13441480 16543360 21506368 26882960 33086720 43012736 53765920 66173440 86025472 107531840 172050944 215063680 430127360 860254720