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196688900 = 22521966889
BaseRepresentation
bin10111011100100…
…11110000000100
3111201002211110002
423232103300010
5400323021100
631303420432
74605554012
oct1356236004
9451084402
10196688900
11a1031311
1255a54718
1331998185
141c19d8b2
15124032d5
hexbb93c04

196688900 has 18 divisors (see below), whose sum is σ = 426815130. Its totient is φ = 78675520.

The previous prime is 196688867. The next prime is 196688909. The reversal of 196688900 is 9886691.

It can be written as a sum of positive squares in 3 ways, for example, as 59845696 + 136843204 = 7736^2 + 11698^2 .

It is not an unprimeable number, because it can be changed into a prime (196688909) 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 5 ways as a sum of consecutive naturals, for example, 983345 + ... + 983544.

Almost surely, 2196688900 is an apocalyptic number.

196688900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196688900 is an abundant number, since it is smaller than the sum of its proper divisors (230126230).

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

196688900 is a wasteful number, since it uses less digits than its factorization.

196688900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966903 (or 1966896 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 196688900 is about 14024.5819902056. The cubic root of 196688900 is about 581.5583341168.

It can be divided in two parts, 196 and 688900, that multiplied together give a square (135024400 = 116202).

The spelling of 196688900 in words is "one hundred ninety-six million, six hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1966889 3933778 7867556 9834445 19668890 39337780 49172225 98344450 196688900