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196535040 = 28351331127
BaseRepresentation
bin10111011011011…
…10001100000000
3111200211000101120
423231232030000
5400303110130
631300232240
74604343312
oct1355561400
9450730346
10196535040
11a0a36759
125599b680
1331943130
141c15d7b2
15123c2910
hexbb6e300

196535040 has 288 divisors, whose sum is σ = 703266816. Its totient is φ = 46448640.

The previous prime is 196534997. The next prime is 196535047. The reversal of 196535040 is 40535691.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 196534992 and 196535010.

It is not an unprimeable number, because it can be changed into a prime (196535047) 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 31 ways as a sum of consecutive naturals, for example, 1547457 + ... + 1547583.

Almost surely, 2196535040 is an apocalyptic number.

196535040 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 196535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351633408).

196535040 is an abundant number, since it is smaller than the sum of its proper divisors (506731776).

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

196535040 is a wasteful number, since it uses less digits than its factorization.

196535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 196535040 is about 14019.0955485723. The cubic root of 196535040 is about 581.4066531170.

The spelling of 196535040 in words is "one hundred ninety-six million, five hundred thirty-five thousand, forty".