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196880256 = 27323137149
BaseRepresentation
bin10111011110000…
…10011110000000
3111201110112221100
423233002132000
5400400132011
631311454400
74610311626
oct1357023600
9451415840
10196880256
11a1152061
1255b27400
1331a342c1
141c20d516
151243ed56
hexbbc2780

196880256 has 192 divisors, whose sum is σ = 604656000. Its totient is φ = 61378560.

The previous prime is 196880251. The next prime is 196880263. The reversal of 196880256 is 652088691.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196880251) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1321270 + ... + 1321418.

It is an arithmetic number, because the mean of its divisors is an integer number (3149250).

Almost surely, 2196880256 is an apocalyptic number.

196880256 is a gapful number since it is divisible by the number (16) 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 196880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302328000).

196880256 is an abundant number, since it is smaller than the sum of its proper divisors (407775744).

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

196880256 is a wasteful number, since it uses less digits than its factorization.

196880256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 196880256 is about 14031.4024958306. The cubic root of 196880256 is about 581.7468697636.

It can be divided in two parts, 196880 and 256, that added together give a square (197136 = 4442).

The spelling of 196880256 in words is "one hundred ninety-six million, eight hundred eighty thousand, two hundred fifty-six".