Search a number
-
+
116060160 = 212351889
BaseRepresentation
bin1101110101011…
…11000000000000
322002101110121110
412322233000000
5214202411120
615303323320
72606331546
oct672570000
9262343543
10116060160
115a570797
1232a50540
131b077868
14115b1d96
15a2c82e0
hex6eaf000

116060160 has 104 divisors (see below), whose sum is σ = 371543760. Its totient is φ = 30932992.

The previous prime is 116060149. The next prime is 116060167. The reversal of 116060160 is 61060611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116060167) 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, 60496 + ... + 62384.

Almost surely, 2116060160 is an apocalyptic number.

116060160 is a gapful number since it is divisible by the number (10) 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 116060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185771880).

116060160 is an abundant number, since it is smaller than the sum of its proper divisors (255483600).

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

116060160 is an equidigital number, since it uses as much as digits as its factorization.

116060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 116060160 is about 10773.1221101406. The cubic root of 116060160 is about 487.7841919553.

The spelling of 116060160 in words is "one hundred sixteen million, sixty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1889 1920 2048 2560 3072 3778 3840 4096 5120 5667 6144 7556 7680 9445 10240 11334 12288 15112 15360 18890 20480 22668 28335 30224 30720 37780 45336 56670 60448 61440 75560 90672 113340 120896 151120 181344 226680 241792 302240 362688 453360 483584 604480 725376 906720 967168 1208960 1450752 1813440 1934336 2417920 2901504 3626880 3868672 4835840 5803008 7253760 7737344 9671680 11606016 14507520 19343360 23212032 29015040 38686720 58030080 116060160