Search a number
-
+
105290052 = 22371253453
BaseRepresentation
bin1100100011010…
…01100101000100
321100010021210120
412101221211010
5203423240202
614240421540
72415644040
oct621514504
9240107716
10105290052
1154484a7a
122b3178b0
1318a7660a
14ddab020
15939c0bc
hex6469944

105290052 has 24 divisors (see below), whose sum is σ = 280773696. Its totient is φ = 30082848.

The previous prime is 105290023. The next prime is 105290063. The reversal of 105290052 is 250092501.

It is a super-2 number, since 2×1052900522 = 22171990100325408, 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, 626643 + ... + 626810.

It is an arithmetic number, because the mean of its divisors is an integer number (11698904).

Almost surely, 2105290052 is an apocalyptic number.

105290052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105290052 is an abundant number, since it is smaller than the sum of its proper divisors (175483644).

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

105290052 is a wasteful number, since it uses less digits than its factorization.

105290052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253467 (or 1253465 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105290052 is about 10261.0940937114. The cubic root of 105290052 is about 472.2034039057.

The spelling of 105290052 in words is "one hundred five million, two hundred ninety thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1253453 2506906 3760359 5013812 7520718 8774171 15041436 17548342 26322513 35096684 52645026 105290052