Search a number
-
+
196868880 = 24355131941
BaseRepresentation
bin10111011101111…
…11101100010000
3111201102222100000
423232333230100
5400344301010
631311330000
74610233515
oct1356775420
9451388300
10196868880
11a114455a
1255b20900
1331a2c080
141c20930c
151243b7c0
hexbbbfb10

196868880 has 480 divisors, whose sum is σ = 796199040. Its totient is φ = 44789760.

The previous prime is 196868873. The next prime is 196868887. The reversal of 196868880 is 88868691.

It is an interprime number because it is at equal distance from previous prime (196868873) and next prime (196868887).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (196868887) 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 95 ways as a sum of consecutive naturals, for example, 4801660 + ... + 4801700.

It is an arithmetic number, because the mean of its divisors is an integer number (1658748).

Almost surely, 2196868880 is an apocalyptic number.

196868880 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 196868880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398099520).

196868880 is an abundant number, since it is smaller than the sum of its proper divisors (599330160).

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

196868880 is a wasteful number, since it uses less digits than its factorization.

196868880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 196868880 is about 14030.9971135340. The cubic root of 196868880 is about 581.7356648482.

The spelling of 196868880 in words is "one hundred ninety-six million, eight hundred sixty-eight thousand, eight hundred eighty".