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195906960 = 24325272093
BaseRepresentation
bin10111010110101…
…00110110010000
3111122122002211100
423223110312100
5400123010320
631234544400
74566116214
oct1353246620
9448562740
10195906960
11a0647887
1255738100
13317832a2
141c038944
15122eb790
hexbad4d90

195906960 has 60 divisors (see below), whose sum is σ = 657923292. Its totient is φ = 52241664.

The previous prime is 195906917. The next prime is 195906983. The reversal of 195906960 is 69609591.

195906960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53056656 + 142850304 = 7284^2 + 11952^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 135327 + ... + 136766.

Almost surely, 2195906960 is an apocalyptic number.

195906960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195906960 is an abundant number, since it is smaller than the sum of its proper divisors (462016332).

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

195906960 is a wasteful number, since it uses less digits than its factorization.

195906960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272112 (or 272103 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 195906960 is about 13996.6767484285. The cubic root of 195906960 is about 580.7866456415.

The spelling of 195906960 in words is "one hundred ninety-five million, nine hundred six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 272093 544186 816279 1088372 1360465 1632558 2176744 2448837 2720930 3265116 4081395 4353488 4897674 5441860 6530232 8162790 9795348 10883720 12244185 13060464 16325580 19590696 21767440 24488370 32651160 39181392 48976740 65302320 97953480 195906960