Search a number
-
+
105250008 = 2331131972
BaseRepresentation
bin1100100010111…
…11110011011000
321100001020212110
412101133303120
5203421000013
614235512320
72415416223
oct621376330
9240036773
10105250008
1154457986
122b2b86a0
1318a61316
14dd9a5ba
1593902c3
hex645fcd8

105250008 has 48 divisors (see below), whose sum is σ = 266807880. Its totient is φ = 34596352.

The previous prime is 105249983. The next prime is 105250021. The reversal of 105250008 is 800052501.

It is a super-2 number, since 2×1052500082 = 22155128368000128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534166 + ... + 534362.

Almost surely, 2105250008 is an apocalyptic number.

It is an amenable number.

105250008 is an abundant number, since it is smaller than the sum of its proper divisors (161557872).

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

105250008 is a wasteful number, since it uses less digits than its factorization.

105250008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105250008 is about 10259.1426542377. The cubic root of 105250008 is about 472.1435333849.

The spelling of 105250008 in words is "one hundred five million, two hundred fifty thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 113 197 226 339 394 452 591 678 788 904 1182 1356 1576 2364 2712 4728 22261 38809 44522 66783 77618 89044 116427 133566 155236 178088 232854 267132 310472 465708 534264 931416 4385417 8770834 13156251 17541668 26312502 35083336 52625004 105250008