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195209840 = 2457359971
BaseRepresentation
bin10111010001010…
…10101001110000
3111121022200120002
423220222221300
5344433203330
631212005132
74560153620
oct1350525160
9447280502
10195209840
11a0211051
12554607a8
133159aba7
141bcd6880
151220ee45
hexba2aa70

195209840 has 80 divisors (see below), whose sum is σ = 520680960. Its totient is φ = 66673920.

The previous prime is 195209801. The next prime is 195209849. The reversal of 195209840 is 48902591.

195209840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 195209794 and 195209803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195209849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200555 + ... + 201525.

It is an arithmetic number, because the mean of its divisors is an integer number (6508512).

Almost surely, 2195209840 is an apocalyptic number.

195209840 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 195209840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260340480).

195209840 is an abundant number, since it is smaller than the sum of its proper divisors (325471120).

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

195209840 is a wasteful number, since it uses less digits than its factorization.

195209840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 195209840 is about 13971.7515007962. The cubic root of 195209840 is about 580.0969318771.

The spelling of 195209840 in words is "one hundred ninety-five million, two hundred nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 359 560 718 971 1436 1795 1942 2513 2872 3590 3884 4855 5026 5744 6797 7180 7768 9710 10052 12565 13594 14360 15536 19420 20104 25130 27188 28720 33985 38840 40208 50260 54376 67970 77680 100520 108752 135940 201040 271880 348589 543760 697178 1394356 1742945 2440123 2788712 3485890 4880246 5577424 6971780 9760492 12200615 13943560 19520984 24401230 27887120 39041968 48802460 97604920 195209840