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166804134 = 23726171131
BaseRepresentation
bin10011111000100…
…11101010100110
3102121212112020220
421330103222212
5320200213014
624315105210
74063545300
oct1174235246
9377775226
10166804134
118617a462
1247a42206
1328733793
1418220970
15e99d6a9
hex9f13aa6

166804134 has 96 divisors (see below), whose sum is σ = 403045632. Its totient is φ = 45864000.

The previous prime is 166804133. The next prime is 166804139. The reversal of 166804134 is 431408661.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 166804095 and 166804104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166804133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273249 + ... + 1273379.

It is an arithmetic number, because the mean of its divisors is an integer number (4198392).

Almost surely, 2166804134 is an apocalyptic number.

166804134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166804134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201522816).

166804134 is an abundant number, since it is smaller than the sum of its proper divisors (236241498).

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

166804134 is a wasteful number, since it uses less digits than its factorization.

166804134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 166804134 is about 12915.2674769050. The cubic root of 166804134 is about 550.4724689478.

The spelling of 166804134 in words is "one hundred sixty-six million, eight hundred four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 61 71 98 122 131 142 147 183 213 262 294 366 393 426 427 497 786 854 917 994 1281 1491 1834 2562 2751 2982 2989 3479 4331 5502 5978 6419 6958 7991 8662 8967 9301 10437 12838 12993 15982 17934 18602 19257 20874 23973 25986 27903 30317 38514 47946 55806 55937 60634 65107 90951 111874 130214 167811 181902 195321 212219 335622 390642 391559 424438 455749 567361 636657 783118 911498 1134722 1174677 1273314 1367247 1702083 2349354 2734494 3404166 3971527 7943054 11914581 23829162 27800689 55601378 83402067 166804134