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196533120 = 2735722089
BaseRepresentation
bin10111011011011…
…01101110000000
3111200210220202110
423231231232000
5400303024440
631300215320
74604334600
oct1355555600
9450726673
10196533120
11a0a35273
125599a540
13319422b4
141c15cc00
15123c2080
hexbb6db80

196533120 has 192 divisors, whose sum is σ = 729075600. Its totient is φ = 44900352.

The previous prime is 196533101. The next prime is 196533151. The reversal of 196533120 is 21335691.

196533120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93036 + ... + 95124.

Almost surely, 2196533120 is an apocalyptic number.

196533120 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 196533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364537800).

196533120 is an abundant number, since it is smaller than the sum of its proper divisors (532542480).

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

196533120 is a wasteful number, since it uses less digits than its factorization.

196533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 196533120 is about 14019.0270703783. The cubic root of 196533120 is about 581.4047598085.

The spelling of 196533120 in words is "one hundred ninety-six million, five hundred thirty-three thousand, one hundred twenty".