Search a number
-
+
196896924 = 2232717194159
BaseRepresentation
bin10111011110001…
…10100010011100
3111201111101210200
423233012202130
5400401200144
631312103500
74610411340
oct1357064234
9451441720
10196896924
11a1163634
1255b34b90
1331a3ba73
141c215620
1512444c69
hexbbc689c

196896924 has 288 divisors, whose sum is σ = 660441600. Its totient is φ = 48107520.

The previous prime is 196896923. The next prime is 196896929. The reversal of 196896924 is 429698691.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196896923) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3337207 + ... + 3337265.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2196896924 is an apocalyptic number.

196896924 is a gapful number since it is divisible by the number (14) 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 196896924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

196896924 is an abundant number, since it is smaller than the sum of its proper divisors (463544676).

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

196896924 is a wasteful number, since it uses less digits than its factorization.

196896924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 196896924 is about 14031.9964367156. The cubic root of 196896924 is about 581.7632863128.

The spelling of 196896924 in words is "one hundred ninety-six million, eight hundred ninety-six thousand, nine hundred twenty-four".