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264138105 = 35711713221
BaseRepresentation
bin11111011111001…
…10110101111001
3200102000121100210
433233212311321
51020104404410
642113221333
76355064640
oct1757466571
9612017323
10264138105
1112610a960
1274561849
134295294a
142711a357
15182c8220
hexfbe6d79

264138105 has 64 divisors (see below), whose sum is σ = 534491136. Its totient is φ = 108192000.

The previous prime is 264138101. The next prime is 264138131. The reversal of 264138105 is 501831462.

It is not a de Polignac number, because 264138105 - 22 = 264138101 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (264138101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80395 + ... + 83615.

It is an arithmetic number, because the mean of its divisors is an integer number (8351424).

Almost surely, 2264138105 is an apocalyptic number.

It is an amenable number.

264138105 is an abundant number, since it is smaller than the sum of its proper divisors (270353031).

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

264138105 is a wasteful number, since it uses less digits than its factorization.

264138105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 264138105 is about 16252.3261412021. The cubic root of 264138105 is about 641.6187092585.

Adding to 264138105 its reverse (501831462), we get a palindrome (765969567).

The spelling of 264138105 in words is "two hundred sixty-four million, one hundred thirty-eight thousand, one hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 71 77 105 165 213 231 355 385 497 781 1065 1155 1491 2343 2485 3221 3905 5467 7455 9663 11715 16105 16401 22547 27335 35431 48315 67641 82005 106293 112735 177155 228691 248017 338205 531465 686073 744051 1143455 1240085 1600837 2515601 3430365 3720255 4802511 7546803 8004185 12578005 17609207 24012555 37734015 52827621 88046035 264138105