Search a number
-
+
166076196 = 2231113175693
BaseRepresentation
bin10011110011000…
…01111100100100
3102120111112201020
421321201330210
5320003414241
624251331140
74054424106
oct1171417444
9376445636
10166076196
1185822560
1247750ab0
132853a350
14180b1576
15e8a7b66
hex9e61f24

166076196 has 96 divisors (see below), whose sum is σ = 482122368. Its totient is φ = 43714560.

The previous prime is 166076147. The next prime is 166076203. The reversal of 166076196 is 691670661.

166076196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26326 + ... + 32018.

It is an arithmetic number, because the mean of its divisors is an integer number (5022108).

Almost surely, 2166076196 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 166076196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241061184).

166076196 is an abundant number, since it is smaller than the sum of its proper divisors (316046172).

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

166076196 is a wasteful number, since it uses less digits than its factorization.

166076196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 166076196 is about 12887.0553657537. The cubic root of 166076196 is about 549.6705420833.

The spelling of 166076196 in words is "one hundred sixty-six million, seventy-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 204 221 286 374 429 442 561 572 663 748 858 884 1122 1326 1716 2244 2431 2652 4862 5693 7293 9724 11386 14586 17079 22772 29172 34158 62623 68316 74009 96781 125246 148018 187869 193562 222027 250492 290343 296036 375738 387124 444054 580686 751476 814099 888108 1064591 1161372 1258153 1628198 2129182 2442297 2516306 3193773 3256396 3774459 4258364 4884594 5032612 6387546 7548918 9769188 12775092 13839683 15097836 27679366 41519049 55358732 83038098 166076196