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195116160 = 2735151673
BaseRepresentation
bin10111010000100…
…11110010000000
3111121010221001110
423220103302000
5344422204120
631210003320
74556313531
oct1350236200
9447127043
10195116160
11a0157728
1255416540
1331567365
141bcb0688
15121e22e0
hexba13c80

195116160 has 128 divisors (see below), whose sum is σ = 626981760. Its totient is φ = 51609600.

The previous prime is 195116101. The next prime is 195116167. The reversal of 195116160 is 61611591.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (195116167) 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 15 ways as a sum of consecutive naturals, for example, 289584 + ... + 290256.

It is an arithmetic number, because the mean of its divisors is an integer number (4898295).

Almost surely, 2195116160 is an apocalyptic number.

195116160 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 195116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313490880).

195116160 is an abundant number, since it is smaller than the sum of its proper divisors (431865600).

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

195116160 is a wasteful number, since it uses less digits than its factorization.

195116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 195116160 is about 13968.3986197416. The cubic root of 195116160 is about 580.0041220476.

The spelling of 195116160 in words is "one hundred ninety-five million, one hundred sixteen 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 96 120 128 151 160 192 240 302 320 384 453 480 604 640 673 755 906 960 1208 1346 1510 1812 1920 2019 2265 2416 2692 3020 3365 3624 4038 4530 4832 5384 6040 6730 7248 8076 9060 9664 10095 10768 12080 13460 14496 16152 18120 19328 20190 21536 24160 26920 28992 32304 36240 40380 43072 48320 53840 57984 64608 72480 80760 86144 96640 101623 107680 129216 144960 161520 203246 215360 258432 289920 304869 323040 406492 430720 508115 609738 646080 812984 1016230 1219476 1292160 1524345 1625968 2032460 2438952 3048690 3251936 4064920 4877904 6097380 6503872 8129840 9755808 12194760 13007744 16259680 19511616 24389520 32519360 39023232 48779040 65038720 97558080 195116160