Search a number
-
+
196555680 = 25335173263
BaseRepresentation
bin10111011011100…
…11001110100000
3111200212001201000
423231303032200
5400304240210
631300512000
74604460426
oct1355631640
9450761630
10196555680
11a0a50212
12559ab600
133194c649
141c167116
15123c8ac0
hexbb733a0

196555680 has 192 divisors, whose sum is σ = 694552320. Its totient is φ = 51913728.

The previous prime is 196555663. The next prime is 196555687. The reversal of 196555680 is 86555691.

It is a happy number.

196555680 is a `hidden beast` number, since 1 + 96 + 5 + 556 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (196555687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747229 + ... + 747491.

It is an arithmetic number, because the mean of its divisors is an integer number (3617460).

Almost surely, 2196555680 is an apocalyptic number.

196555680 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 196555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347276160).

196555680 is an abundant number, since it is smaller than the sum of its proper divisors (497996640).

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

196555680 is a wasteful number, since it uses less digits than its factorization.

196555680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 196555680 is about 14019.8316680337. The cubic root of 196555680 is about 581.4270054051.

The spelling of 196555680 in words is "one hundred ninety-six million, five hundred fifty-five thousand, six hundred eighty".