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196297920 = 263257213107
BaseRepresentation
bin10111011001101…
…00010011000000
3111200100222010100
423230310103000
5400223013140
631251202400
74602335100
oct1354642300
9450328110
10196297920
11a0894595
12558a6400
133188c220
141c0db200
1512377530
hexbb344c0

196297920 has 504 divisors, whose sum is σ = 853738704. Its totient is φ = 41029632.

The previous prime is 196297919. The next prime is 196297951. The reversal of 196297920 is 29792691.

196297920 is a `hidden beast` number, since 19 + 629 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834507 + ... + 1834613.

It is an arithmetic number, because the mean of its divisors is an integer number (1693926).

Almost surely, 2196297920 is an apocalyptic number.

196297920 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 196297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426869352).

196297920 is an abundant number, since it is smaller than the sum of its proper divisors (657440784).

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

196297920 is a wasteful number, since it uses less digits than its factorization.

196297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 196297920 is about 14010.6359598699. The cubic root of 196297920 is about 581.1727361747.

It can be divided in two parts, 196 and 297920, that added together give a square (298116 = 5462).

The spelling of 196297920 in words is "one hundred ninety-six million, two hundred ninety-seven thousand, nine hundred twenty".