Search a number
-
+
196245504 = 211347132
BaseRepresentation
bin10111011001001…
…11100000000000
3111200021022020000
423230213200000
5400214324004
631250120000
74602026220
oct1354474000
9450238200
10196245504
11a0859174
1255880000
1331871400
141c0c6080
1512366c39
hexbb27800

196245504 has 360 divisors, whose sum is σ = 725404680. Its totient is φ = 51757056.

The previous prime is 196245493. The next prime is 196245527. The reversal of 196245504 is 405542691.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15095802 + ... + 15095814.

It is an arithmetic number, because the mean of its divisors is an integer number (2015013).

Almost surely, 2196245504 is an apocalyptic number.

196245504 is a gapful number since it is divisible by the number (14) 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 196245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362702340).

196245504 is an abundant number, since it is smaller than the sum of its proper divisors (529159176).

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

196245504 is an equidigital number, since it uses as much as digits as its factorization.

196245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 196245504 is about 14008.7652560816. The cubic root of 196245504 is about 581.1210027993.

The spelling of 196245504 in words is "one hundred ninety-six million, two hundred forty-five thousand, five hundred four".