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195366240 = 25325135671
BaseRepresentation
bin10111010010100…
…00110101100000
3111121121122002200
423221100311200
5400003204430
631215213200
74561404606
oct1351206540
9447548080
10195366240
11a0308603
1255517200
1331624134
141bd37876
1512241460
hexba50d60

195366240 has 72 divisors (see below), whose sum is σ = 666692208. Its totient is φ = 52097280.

The previous prime is 195366239. The next prime is 195366251. The reversal of 195366240 is 42663591.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 195366195 and 195366204.

It is a congruent number.

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, 66396 + ... + 69275.

It is an arithmetic number, because the mean of its divisors is an integer number (9259614).

Almost surely, 2195366240 is an apocalyptic number.

195366240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195366240 is an abundant number, since it is smaller than the sum of its proper divisors (471325968).

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

195366240 is a wasteful number, since it uses less digits than its factorization.

195366240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135692 (or 135681 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 195366240 is about 13977.3473878272. The cubic root of 195366240 is about 580.2518129717.

The spelling of 195366240 in words is "one hundred ninety-five million, three hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 135671 271342 407013 542684 678355 814026 1085368 1221039 1356710 1628052 2035065 2170736 2442078 2713420 3256104 4070130 4341472 4884156 5426840 6105195 6512208 8140260 9768312 10853680 12210390 13024416 16280520 19536624 21707360 24420780 32561040 39073248 48841560 65122080 97683120 195366240