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196992936 = 23327255837
BaseRepresentation
bin10111011110111…
…01111110101000
3111201200021111200
423233131332220
5400412233221
631314124200
74611261300
oct1357357650
9451607450
10196992936
11a1219788
1255b80660
1331a7368a
141c23c600
1512463426
hexbbddfa8

196992936 has 72 divisors (see below), whose sum is σ = 620639370. Its totient is φ = 56282688.

The previous prime is 196992883. The next prime is 196992937. The reversal of 196992936 is 639299691.

It can be written as a sum of positive squares in only one way, i.e., 153512100 + 43480836 = 12390^2 + 6594^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 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 (196992937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24391 + ... + 31446.

Almost surely, 2196992936 is an apocalyptic number.

It is an amenable number.

196992936 is an abundant number, since it is smaller than the sum of its proper divisors (423646434).

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

196992936 is a wasteful number, since it uses less digits than its factorization.

196992936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55863 (or 55849 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The square root of 196992936 is about 14035.4172007817. The cubic root of 196992936 is about 581.8578318563.

The spelling of 196992936 in words is "one hundred ninety-six million, nine hundred ninety-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 55837 111674 167511 223348 335022 390859 446696 502533 670044 781718 1005066 1172577 1340088 1563436 2010132 2345154 2736013 3126872 3517731 4020264 4690308 5472026 7035462 8208039 9380616 10944052 14070924 16416078 21888104 24624117 28141848 32832156 49248234 65664312 98496468 196992936