Search a number
-
+
23971105 = 517253313
BaseRepresentation
bin101101101110…
…0010100100001
31200002212011201
41123130110201
522114033410
62213441201
7410515414
oct133342441
950085151
1023971105
1112592934
128040201
134c73ab2
14327db7b
15218783a
hex16dc521

23971105 has 24 divisors (see below), whose sum is σ = 31232952. Its totient is φ = 17651712.

The previous prime is 23971093. The next prime is 23971117. The reversal of 23971105 is 50117932.

It is an interprime number because it is at equal distance from previous prime (23971093) and next prime (23971117).

It can be written as a sum of positive squares in 12 ways, for example, as 3748096 + 20223009 = 1936^2 + 4497^2 .

It is not a de Polignac number, because 23971105 - 215 = 23938337 is a prime.

It is a super-2 number, since 2×239711052 = 1149227749842050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 288.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76429 + ... + 76741.

It is an arithmetic number, because the mean of its divisors is an integer number (1301373).

Almost surely, 223971105 is an apocalyptic number.

It is an amenable number.

23971105 is a deficient number, since it is larger than the sum of its proper divisors (7261847).

23971105 is a wasteful number, since it uses less digits than its factorization.

23971105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 23971105 is about 4896.0295137999. The cubic root of 23971105 is about 288.3341070142.

The spelling of 23971105 in words is "twenty-three million, nine hundred seventy-one thousand, one hundred five".

Divisors: 1 5 17 53 85 265 289 313 901 1445 1565 4505 5321 15317 16589 26605 76585 82945 90457 282013 452285 1410065 4794221 23971105