Search a number
-
+
105726841530 = 2353583983597
BaseRepresentation
bin110001001110111001…
…1111001001010111010
3101002220021201000221120
41202131303321022322
53213012032412110
6120323101050110
710432003216332
oct1423563711272
9332807630846
10105726841530
1140925055992
12185a7856936
139c7c117b7b
14518d8860c2
152b3bdb6870
hex189dcf92ba

105726841530 has 32 divisors (see below), whose sum is σ = 253815496704. Its totient is φ = 28185926976.

The previous prime is 105726841529. The next prime is 105726841547. The reversal of 105726841530 is 35148627501.

It is a happy number.

It is a super-2 number, since 2×1057268415302 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384309 + ... + 599288.

It is an arithmetic number, because the mean of its divisors is an integer number (7931734272).

Almost surely, 2105726841530 is an apocalyptic number.

105726841530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105726841530 is an abundant number, since it is smaller than the sum of its proper divisors (148088655174).

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

105726841530 is a wasteful number, since it uses less digits than its factorization.

105726841530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987190.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 105726841530 in words is "one hundred five billion, seven hundred twenty-six million, eight hundred forty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 3583 7166 10749 17915 21498 35830 53745 107490 983597 1967194 2950791 4917985 5901582 9835970 14753955 29507910 3524228051 7048456102 10572684153 17621140255 21145368306 35242280510 52863420765 105726841530