Search a number
-
+
195053040 = 243257132229
BaseRepresentation
bin10111010000001…
…00010111110000
3111121000201110200
423220010113300
5344413144130
631204355200
74555631520
oct1350042760
9447021420
10195053040
11a0114266
12553a5b00
1331544700
141bc95680
15121cd760
hexba045f0

195053040 has 360 divisors, whose sum is σ = 814188960. Its totient is φ = 40974336.

The previous prime is 195053017. The next prime is 195053081. The reversal of 195053040 is 40350591.

195053040 is a `hidden beast` number, since 1 + 95 + 0 + 530 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 195052995 and 195053013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851646 + ... + 851874.

It is an arithmetic number, because the mean of its divisors is an integer number (2261636).

Almost surely, 2195053040 is an apocalyptic number.

195053040 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 195053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407094480).

195053040 is an abundant number, since it is smaller than the sum of its proper divisors (619135920).

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

195053040 is a wasteful number, since it uses less digits than its factorization.

195053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 195053040 is about 13966.1390512912. The cubic root of 195053040 is about 579.9415716013.

The spelling of 195053040 in words is "one hundred ninety-five million, fifty-three thousand, forty".