Search a number
-
+
23135805 = 3257112607
BaseRepresentation
bin101100001000…
…0011000111101
31121112102100200
41120100120331
521410321210
62143514113
7400436220
oct130203075
947472320
1023135805
1112072300
1278b8939
134a40834
1431035b7
1520700c0
hex161063d

23135805 has 72 divisors (see below), whose sum is σ = 50459136. Its totient is φ = 9599040.

The previous prime is 23135803. The next prime is 23135807. The reversal of 23135805 is 50853132.

It is an interprime number because it is at equal distance from previous prime (23135803) and next prime (23135807).

It is not a de Polignac number, because 23135805 - 21 = 23135803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23135803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37812 + ... + 38418.

Almost surely, 223135805 is an apocalyptic number.

It is an amenable number.

23135805 is an abundant number, since it is smaller than the sum of its proper divisors (27323331).

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

23135805 is a wasteful number, since it uses less digits than its factorization.

23135805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 23135805 is about 4809.9693346216. The cubic root of 23135805 is about 284.9453265391.

Adding to 23135805 its reverse (50853132), we get a palindrome (73988937).

It can be divided in two parts, 2313 and 5805, that added together give a palindrome (8118).

The spelling of 23135805 in words is "twenty-three million, one hundred thirty-five thousand, eight hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 121 165 231 315 363 385 495 605 607 693 847 1089 1155 1815 1821 2541 3035 3465 4235 4249 5445 5463 6677 7623 9105 12705 12747 20031 21245 27315 33385 38115 38241 46739 60093 63735 73447 100155 140217 191205 220341 233695 300465 367235 420651 514129 661023 701085 1101705 1542387 2103255 2570645 3305115 4627161 7711935 23135805