Search a number
-
+
105023976 = 23314393041
BaseRepresentation
bin1100100001010…
…00100111101000
321022121202210220
412100220213220
5203341231401
614231010040
72413455231
oct620504750
9238552726
10105023976
1154313082
122b209920
13189b2485
14dd3c088
159348336
hex64289e8

105023976 has 32 divisors (see below), whose sum is σ = 262828800. Its totient is φ = 34972160.

The previous prime is 105023969. The next prime is 105024013. The reversal of 105023976 is 679320501.

It is a super-2 number, since 2×1050239762 = 22060071069697152, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33016 + ... + 36056.

It is an arithmetic number, because the mean of its divisors is an integer number (8213400).

Almost surely, 2105023976 is an apocalyptic number.

It is an amenable number.

105023976 is an abundant number, since it is smaller than the sum of its proper divisors (157804824).

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

105023976 is a wasteful number, since it uses less digits than its factorization.

105023976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4485 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 105023976 is about 10248.1206081896. The cubic root of 105023976 is about 471.8053036896.

The spelling of 105023976 in words is "one hundred five million, twenty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 1439 2878 3041 4317 5756 6082 8634 9123 11512 12164 17268 18246 24328 34536 36492 72984 4375999 8751998 13127997 17503996 26255994 35007992 52511988 105023976