Search a number
-
+
860160 = 213357
BaseRepresentation
bin11010010000000000000
31121200220210
43102000000
5210011120
630234120
710211520
oct3220000
91550823
10860160
11538284
12355940
13241692
14185680
1511ece0
hexd2000

860160 has 112 divisors (see below), whose sum is σ = 3145536. Its totient is φ = 196608.

The previous prime is 860143. The next prime is 860239. The reversal of 860160 is 61068.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is an unprimeable number.

860160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122877 + ... + 122883.

2860160 is an apocalyptic number.

860160 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 860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572768).

860160 is an abundant number, since it is smaller than the sum of its proper divisors (2285376).

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

860160 is an equidigital number, since it uses as much as digits as its factorization.

860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 860160 is about 927.4481117561. The cubic root of 860160 is about 95.1027512442.

The spelling of 860160 in words is "eight hundred sixty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1024 1120 1280 1344 1536 1680 1792 1920 2048 2240 2560 2688 3072 3360 3584 3840 4096 4480 5120 5376 6144 6720 7168 7680 8192 8960 10240 10752 12288 13440 14336 15360 17920 20480 21504 24576 26880 28672 30720 35840 40960 43008 53760 57344 61440 71680 86016 107520 122880 143360 172032 215040 286720 430080 860160