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196872984 = 233372111989
BaseRepresentation
bin10111011110000…
…00101100011000
3111201110011222000
423233000230120
5400344413414
631311401000
74610251500
oct1357005430
9451404860
10196872984
11a1147650
1255b23160
1331a30bb9
141c20aa00
151243cb09
hexbbc0b18

196872984 has 384 divisors, whose sum is σ = 738720000. Its totient is φ = 47900160.

The previous prime is 196872953. The next prime is 196872997. The reversal of 196872984 is 489278691.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 196872984.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2212012 + ... + 2212100.

It is an arithmetic number, because the mean of its divisors is an integer number (1923750).

Almost surely, 2196872984 is an apocalyptic number.

196872984 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 196872984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369360000).

196872984 is an abundant number, since it is smaller than the sum of its proper divisors (541847016).

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

196872984 is a wasteful number, since it uses less digits than its factorization.

196872984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 196872984 is about 14031.1433603965. The cubic root of 196872984 is about 581.7397071776.

The spelling of 196872984 in words is "one hundred ninety-six million, eight hundred seventy-two thousand, nine hundred eighty-four".