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196269696 = 2733721961
BaseRepresentation
bin10111011001011…
…01011010000000
3111200022112102000
423230231122000
5400221112241
631250424000
74602156600
oct1354553200
9450275360
10196269696
11a0875367
1255892000
133187c41c
141c0d0c00
151236deb6
hexbb2d680

196269696 has 384 divisors, whose sum is σ = 720936000. Its totient is φ = 52254720.

The previous prime is 196269691. The next prime is 196269707. The reversal of 196269696 is 696962691.

It is a happy number.

196269696 is a `hidden beast` number, since 1 + 9 + 626 + 9 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 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 not an unprimeable number, because it can be changed into a prime (196269691) 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 47 ways as a sum of consecutive naturals, for example, 3217506 + ... + 3217566.

Almost surely, 2196269696 is an apocalyptic number.

196269696 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 196269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360468000).

196269696 is an abundant number, since it is smaller than the sum of its proper divisors (524666304).

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

196269696 is a wasteful number, since it uses less digits than its factorization.

196269696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 196269696 is about 14009.6286888697. The cubic root of 196269696 is about 581.1448808863.

The spelling of 196269696 in words is "one hundred ninety-six million, two hundred sixty-nine thousand, six hundred ninety-six".