Search a number
-
+
196682046 = 23115359953
BaseRepresentation
bin10111011100100…
…10000100111110
3111201002111001020
423232102010332
5400322311141
631303325010
74605525021
oct1356220476
9451074036
10196682046
11a1027150
1255a50766
1331995012
141c19b1b8
1512401266
hexbb9213e

196682046 has 64 divisors (see below), whose sum is σ = 445098240. Its totient is φ = 57424640.

The previous prime is 196682041. The next prime is 196682063. The reversal of 196682046 is 640286691.

It is a super-2 number, since 2×1966820462 = 77367654437492232, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 196681989 and 196682007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196682041) 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, 205906 + ... + 206858.

It is an arithmetic number, because the mean of its divisors is an integer number (6954660).

Almost surely, 2196682046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196682046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222549120).

196682046 is an abundant number, since it is smaller than the sum of its proper divisors (248416194).

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

196682046 is a wasteful number, since it uses less digits than its factorization.

196682046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081.

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 196682046 is about 14024.3376314177. The cubic root of 196682046 is about 581.5515788684.

The spelling of 196682046 in words is "one hundred ninety-six million, six hundred eighty-two thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 53 59 66 106 118 159 177 318 354 583 649 953 1166 1298 1749 1906 1947 2859 3127 3498 3894 5718 6254 9381 10483 18762 20966 31449 34397 50509 56227 62898 68794 101018 103191 112454 151527 168681 206382 303054 337362 555599 618497 1111198 1236994 1666797 1855491 2980031 3333594 3710982 5960062 8940093 17880186 32780341 65560682 98341023 196682046