Search a number
-
+
196491240 = 233251129259
BaseRepresentation
bin10111011011000…
…11011111101000
3111200201210022100
423231203133220
5400300204430
631255253400
74604101521
oct1355433750
9450653270
10196491240
11a0a06860
125597a260
133192920a
141c14b848
15123b4960
hexbb637e8

196491240 has 288 divisors, whose sum is σ = 733730400. Its totient is φ = 45212160.

The previous prime is 196491233. The next prime is 196491241. The reversal of 196491240 is 42194691.

It is a happy number.

196491240 is a `hidden beast` number, since 1 + 9 + 649 + 1 + 2 + 4 + 0 = 666.

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 = 196491195 and 196491204.

It is not an unprimeable number, because it can be changed into a prime (196491241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3330331 + ... + 3330389.

It is an arithmetic number, because the mean of its divisors is an integer number (2547675).

Almost surely, 2196491240 is an apocalyptic number.

196491240 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 196491240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366865200).

196491240 is an abundant number, since it is smaller than the sum of its proper divisors (537239160).

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

196491240 is a wasteful number, since it uses less digits than its factorization.

196491240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 196491240 is about 14017.5333065415. The cubic root of 196491240 is about 581.3634589477.

The spelling of 196491240 in words is "one hundred ninety-six million, four hundred ninety-one thousand, two hundred forty".