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260054813 = 232593829
BaseRepresentation
bin11111000000000…
…01111100011101
3200010100011010202
433200001330131
51013033223223
641445513245
76305300204
oct1740017435
9603304122
10260054813
11123881037
1273112825
1341b531b5
142677623b
1517c6d428
hexf801f1d

260054813 has 12 divisors (see below), whose sum is σ = 272640060. Its totient is φ = 248029056.

The previous prime is 260054801. The next prime is 260054849. The reversal of 260054813 is 318450062.

260054813 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 2 ways, for example, as 154828249 + 105226564 = 12443^2 + 10258^2 .

It is not a de Polignac number, because 260054813 - 210 = 260053789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260054863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313283 + ... + 314111.

It is an arithmetic number, because the mean of its divisors is an integer number (22720005).

Almost surely, 2260054813 is an apocalyptic number.

260054813 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

260054813 is a deficient number, since it is larger than the sum of its proper divisors (12585247).

260054813 is an equidigital number, since it uses as much as digits as its factorization.

260054813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 260054813 is about 16126.2150860020. The cubic root of 260054813 is about 638.2952785560.

The spelling of 260054813 in words is "two hundred sixty million, fifty-four thousand, eight hundred thirteen".

Divisors: 1 23 529 593 829 13639 19067 313697 438541 491597 11306731 260054813