Search a number
-
+
10506170260 = 225968954217
BaseRepresentation
bin10011100100011011…
…10110111110010100
31000010012012202012001
421302031312332110
5133004034422020
64454303405044
7521231654665
oct116215667624
930105182161
1010506170260
114501506243
1220525b3784
13cb5822bc1
1471948336c
1541754450a
hex272376f94

10506170260 has 24 divisors (see below), whose sum is σ = 22065641640. Its totient is φ = 4201956864.

The previous prime is 10506170203. The next prime is 10506170261. The reversal of 10506170260 is 6207160501.

It can be written as a sum of positive squares in 4 ways, for example, as 150258564 + 10355911696 = 12258^2 + 101764^2 .

It is a super-2 number, since 2×105061702602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506170261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166672 + ... + 220888.

It is an arithmetic number, because the mean of its divisors is an integer number (919401735).

Almost surely, 210506170260 is an apocalyptic number.

10506170260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506170260 is an abundant number, since it is smaller than the sum of its proper divisors (11559471380).

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

10506170260 is a wasteful number, since it uses less digits than its factorization.

10506170260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63915 (or 63913 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 10506170260 in words is "ten billion, five hundred six million, one hundred seventy thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 9689 19378 38756 48445 54217 96890 108434 193780 216868 271085 542170 1084340 525308513 1050617026 2101234052 2626542565 5253085130 10506170260