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195974640 = 2435517593
BaseRepresentation
bin10111010111001…
…01010111110000
3111122202112200000
423223211113300
5400132142030
631240230000
74566520431
oct1353452760
9448675600
10195974640
11a0693714
125576b300
13317a8034
141c055488
1512311860
hexbae55f0

195974640 has 240 divisors, whose sum is σ = 723891168. Its totient is φ = 49102848.

The previous prime is 195974627. The next prime is 195974641. The reversal of 195974640 is 46479591.

195974640 is a `hidden beast` number, since 19 + 597 + 4 + 6 + 40 = 666.

195974640 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195974641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330184 + ... + 330776.

Almost surely, 2195974640 is an apocalyptic number.

195974640 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 195974640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361945584).

195974640 is an abundant number, since it is smaller than the sum of its proper divisors (527916528).

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

195974640 is a wasteful number, since it uses less digits than its factorization.

195974640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 195974640 is about 13999.0942564153. The cubic root of 195974640 is about 580.8535194176.

The spelling of 195974640 in words is "one hundred ninety-five million, nine hundred seventy-four thousand, six hundred forty".