Base | Representation |
---|---|
bin | 11111000001100… |
… | …01110110001100 |
3 | 200010201010021200 |
4 | 33200301312030 |
5 | 1013111013040 |
6 | 41454025500 |
7 | 6310045221 |
oct | 1740616614 |
9 | 603633250 |
10 | 260251020 |
11 | 1239a5497 |
12 | 731a8290 |
13 | 41bc15b3 |
14 | 267c7948 |
15 | 17cab630 |
hex | f831d8c |
260251020 has 72 divisors (see below), whose sum is σ = 792136800. Its totient is φ = 69162240.
The previous prime is 260251001. The next prime is 260251021. The reversal of 260251020 is 20152062.
260251020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2602510202 = 135461186822080800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 260250984 and 260251002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (260251021) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53656 + ... + 58304.
It is an arithmetic number, because the mean of its divisors is an integer number (11001900).
Almost surely, 2260251020 is an apocalyptic number.
260251020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 260251020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396068400).
260251020 is an abundant number, since it is smaller than the sum of its proper divisors (531885780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
260251020 is a wasteful number, since it uses less digits than its factorization.
260251020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4975 (or 4970 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 260251020 is about 16132.2974185328. The cubic root of 260251020 is about 638.4557658995.
The spelling of 260251020 in words is "two hundred sixty million, two hundred fifty-one thousand, twenty".
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