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196128000 = 283353227
BaseRepresentation
bin10111011000010…
…10110100000000
3111200001100001000
423230022310000
5400202044000
631243412000
74601026515
oct1354126400
9450040030
10196128000
11a0788962
1255824000
133182ca93
141c09530c
1512342000
hexbb0ad00

196128000 has 288 divisors, whose sum is σ = 727009920. Its totient is φ = 52070400.

The previous prime is 196127999. The next prime is 196128001. The reversal of 196128000 is 821691.

It is an interprime number because it is at equal distance from previous prime (196127999) and next prime (196128001).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196128001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 863887 + ... + 864113.

It is an arithmetic number, because the mean of its divisors is an integer number (2524340).

Almost surely, 2196128000 is an apocalyptic number.

196128000 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 196128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363504960).

196128000 is an abundant number, since it is smaller than the sum of its proper divisors (530881920).

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

196128000 is an equidigital number, since it uses as much as digits as its factorization.

196128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 196128000 is about 14004.5706824594. The cubic root of 196128000 is about 581.0049955973.

Adding to 196128000 its reverse (821691), we get a palindrome (196949691).

The spelling of 196128000 in words is "one hundred ninety-six million, one hundred twenty-eight thousand".