Search a number
-
+
196608384 = 27367243
BaseRepresentation
bin10111011100000…
…00000110000000
3111200221202000000
423232000012000
5400312432014
631302000000
74605100200
oct1356000600
9450852000
10196608384
11a0a86875
1255a16000
133196a62b
141c17c400
15123d9509
hexbb80180

196608384 has 336 divisors, whose sum is σ = 699017220. Its totient is φ = 54867456.

The previous prime is 196608359. The next prime is 196608389. The reversal of 196608384 is 483806691.

196608384 is a `hidden beast` number, since 1 + 9 + 6 + 608 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196608389) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4572267 + ... + 4572309.

Almost surely, 2196608384 is an apocalyptic number.

196608384 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 196608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349508610).

196608384 is an abundant number, since it is smaller than the sum of its proper divisors (502408836).

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

196608384 is an frugal number, since it uses more digits than its factorization.

196608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 196608384 is about 14021.7111651895. The cubic root of 196608384 is about 581.4789682728.

The spelling of 196608384 in words is "one hundred ninety-six million, six hundred eight thousand, three hundred eighty-four".