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195967080 = 23335421431
BaseRepresentation
bin10111010111000…
…11100001101000
3111122202011022000
423223203201220
5400131421310
631240131000
74566456411
oct1353434150
9448664260
10195967080
11a0688a71
1255766a60
13317a476a
141c052808
151230e4c0
hexbae3868

195967080 has 128 divisors (see below), whose sum is σ = 656294400. Its totient is φ = 52012800.

The previous prime is 195967073. The next prime is 195967091. The reversal of 195967080 is 80769591.

195967080 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454465 + ... + 454895.

It is an arithmetic number, because the mean of its divisors is an integer number (5127300).

Almost surely, 2195967080 is an apocalyptic number.

195967080 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 195967080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328147200).

195967080 is an abundant number, since it is smaller than the sum of its proper divisors (460327320).

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

195967080 is a wasteful number, since it uses less digits than its factorization.

195967080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 195967080 is about 13998.8242363421. The cubic root of 195967080 is about 580.8460502385.

The spelling of 195967080 in words is "one hundred ninety-five million, nine hundred sixty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 421 431 540 842 862 1080 1263 1293 1684 1724 2105 2155 2526 2586 3368 3448 3789 3879 4210 4310 5052 5172 6315 6465 7578 7758 8420 8620 10104 10344 11367 11637 12630 12930 15156 15516 16840 17240 18945 19395 22734 23274 25260 25860 30312 31032 37890 38790 45468 46548 50520 51720 56835 58185 75780 77580 90936 93096 113670 116370 151560 155160 181451 227340 232740 362902 454680 465480 544353 725804 907255 1088706 1451608 1633059 1814510 2177412 2721765 3266118 3629020 4354824 4899177 5443530 6532236 7258040 8165295 9798354 10887060 13064472 16330590 19596708 21774120 24495885 32661180 39193416 48991770 65322360 97983540 195967080