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195683040 = 253557719
BaseRepresentation
bin10111010100111…
…10001011100000
3111122012201200000
423222132023200
5400043324130
631230100000
74564164330
oct1352361340
9448181600
10195683040
11a0504623
125564a600
13317053a7
141bdbb0c0
15122a5260
hexba9e2e0

195683040 has 288 divisors, whose sum is σ = 792529920. Its totient is φ = 44665344.

The previous prime is 195683023. The next prime is 195683053. The reversal of 195683040 is 40386591.

195683040 is digitally balanced in base 2, 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 (288).

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 = 195682986 and 195683004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271801 + ... + 272519.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2195683040 is an apocalyptic number.

195683040 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 195683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

195683040 is an abundant number, since it is smaller than the sum of its proper divisors (596846880).

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

195683040 is an equidigital number, since it uses as much as digits as its factorization.

195683040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 195683040 is about 13988.6754197815. The cubic root of 195683040 is about 580.5652832054.

The spelling of 195683040 in words is "one hundred ninety-five million, six hundred eighty-three thousand, forty".