Search a number
-
+
260882064040 = 23513501696277
BaseRepresentation
bin1111001011110111001…
…0000110001010101000
3220221101022121222122011
43302331302012022220
513233241302022130
6315503024005304
724563620645663
oct3627562061250
9827338558564
10260882064040
11a0704140004
1242688a60834
131b7a7732c40
14c8abb826da
156bbd35e52a
hex3cbdc862a8

260882064040 has 32 divisors (see below), whose sum is σ = 632137310280. Its totient is φ = 96325684992.

The previous prime is 260882064029. The next prime is 260882064049. The reversal of 260882064040 is 40460288062.

260882064040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 236131852356 + 24750211684 = 485934^2 + 157322^2 .

It is a super-2 number, since 2×2608820640402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 260882063984 and 260882064002.

It is not an unprimeable number, because it can be changed into a prime (260882064049) 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, 250847619 + ... + 250848658.

Almost surely, 2260882064040 is an apocalyptic number.

260882064040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260882064040 is an abundant number, since it is smaller than the sum of its proper divisors (371255246240).

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

260882064040 is a wasteful number, since it uses less digits than its factorization.

260882064040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501696301 (or 501696297 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 260882064040 in words is "two hundred sixty billion, eight hundred eighty-two million, sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 501696277 1003392554 2006785108 2508481385 4013570216 5016962770 6522051601 10033925540 13044103202 20067851080 26088206404 32610258005 52176412808 65220516010 130441032020 260882064040