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196840072 = 231113237481
BaseRepresentation
bin10111011101110…
…00101010001000
3111201101111211001
423232320222020
5400342340242
631310544344
74610053522
oct1356705210
9451344731
10196840072
11a1124950
1255b080b4
1331a1bc20
141c1dca12
1512432eb7
hexbbb8a88

196840072 has 64 divisors (see below), whose sum is σ = 452511360. Its totient is φ = 78988800.

The previous prime is 196840009. The next prime is 196840079. The reversal of 196840072 is 270048691.

196840072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (196840079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22572 + ... + 30052.

It is an arithmetic number, because the mean of its divisors is an integer number (7070490).

Almost surely, 2196840072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196840072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226255680).

196840072 is an abundant number, since it is smaller than the sum of its proper divisors (255671288).

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

196840072 is a wasteful number, since it uses less digits than its factorization.

196840072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 196840072 is about 14029.9704917722. The cubic root of 196840072 is about 581.7072881632.

The spelling of 196840072 in words is "one hundred ninety-six million, eight hundred forty thousand, seventy-two".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 184 253 286 299 506 572 598 1012 1144 1196 2024 2392 3289 6578 7481 13156 14962 26312 29924 59848 82291 97253 164582 172063 194506 329164 344126 389012 658328 688252 778024 1069783 1376504 1892693 2139566 2236819 3785386 4279132 4473638 7570772 8558264 8947276 15141544 17894552 24605009 49210018 98420036 196840072