Search a number
-
+
195791040 = 26335173143
BaseRepresentation
bin10111010101110…
…00100011000000
3111122102012211000
423222320203000
5400110303130
631232252000
74565124234
oct1352704300
9448365730
10195791040
11a0578785
12556a1000
13317425b3
141c0085c4
15122c7260
hexbab88c0

195791040 has 448 divisors, whose sum is σ = 772485120. Its totient is φ = 46448640.

The previous prime is 195791033. The next prime is 195791069. The reversal of 195791040 is 40197591.

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 = 195790986 and 195791004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4553259 + ... + 4553301.

Almost surely, 2195791040 is an apocalyptic number.

195791040 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 195791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386242560).

195791040 is an abundant number, since it is smaller than the sum of its proper divisors (576694080).

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

195791040 is a wasteful number, since it uses less digits than its factorization.

195791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 195791040 is about 13992.5351527163. The cubic root of 195791040 is about 580.6720707242.

The spelling of 195791040 in words is "one hundred ninety-five million, seven hundred ninety-one thousand, forty".