Search a number
-
+
196484640 = 253511217199
BaseRepresentation
bin10111011011000…
…01111000100000
3111200201110020220
423231201320200
5400300002030
631255203040
74604043342
oct1355417040
9450643226
10196484640
11a0a01900
1255976480
1331926201
141c149292
15123b2a10
hexbb61e20

196484640 has 288 divisors, whose sum is σ = 723945600. Its totient is φ = 44605440.

The previous prime is 196484633. The next prime is 196484647. The reversal of 196484640 is 46484691.

It is an interprime number because it is at equal distance from previous prime (196484633) and next prime (196484647).

It is a junction number, because it is equal to n+sod(n) for n = 196484592 and 196484601.

It is not an unprimeable number, because it can be changed into a prime (196484647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987261 + ... + 987459.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2196484640 is an apocalyptic number.

196484640 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 196484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361972800).

196484640 is an abundant number, since it is smaller than the sum of its proper divisors (527460960).

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

196484640 is a wasteful number, since it uses less digits than its factorization.

196484640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 196484640 is about 14017.2978851132. The cubic root of 196484640 is about 581.3569496807.

The spelling of 196484640 in words is "one hundred ninety-six million, four hundred eighty-four thousand, six hundred forty".