Search a number
-
+
166760191 = 131731101241
BaseRepresentation
bin10011111000010…
…00111011111111
3102121210021222101
421330020323333
5320142311231
624314125531
74063303213
oct1174107377
9377707871
10166760191
118614a444
1247a208a7
1328719790
141820c943
15e990661
hex9f08eff

166760191 has 32 divisors (see below), whose sum is σ = 199051776. Its totient is φ = 138240000.

The previous prime is 166760177. The next prime is 166760201. The reversal of 166760191 is 191067661.

It is a 13-Lehmer number, since φ(166760191) divides (166760191-1)13.

It is a cyclic number.

It is not a de Polignac number, because 166760191 - 29 = 166759679 is a prime.

It is a super-2 number, since 2×1667601912 = 55617922604712962, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166760191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166760141) 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, 691831 + ... + 692071.

It is an arithmetic number, because the mean of its divisors is an integer number (6220368).

Almost surely, 2166760191 is an apocalyptic number.

166760191 is a deficient number, since it is larger than the sum of its proper divisors (32291585).

166760191 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (166760190) it forms an eRAP, since the sums of their prime factors are consecutive (402 and 403).

166760191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 166760191 is about 12913.5661612120. The cubic root of 166760191 is about 550.4241257491.

The spelling of 166760191 in words is "one hundred sixty-six million, seven hundred sixty thousand, one hundred ninety-one".

Divisors: 1 13 17 31 101 221 241 403 527 1313 1717 3131 3133 4097 6851 7471 22321 24341 40703 53227 53261 97123 127007 316433 413797 691951 754571 1651091 5379361 9809423 12827707 166760191