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260252020 = 22578920887
BaseRepresentation
bin11111000001100…
…10000101110100
3200010201011122201
433200302011310
51013111031040
641454034244
76310051150
oct1740620564
9603634581
10260252020
111239a6216
12731a8984
1341bc1ba2
14267c8060
1517caba9a
hexf832174

260252020 has 48 divisors (see below), whose sum is σ = 631653120. Its totient is φ = 88222464.

The previous prime is 260252011. The next prime is 260252033. The reversal of 260252020 is 20252062.

It is a super-2 number, since 2×2602520202 = 135462227828160800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2017 + ... + 22903.

It is an arithmetic number, because the mean of its divisors is an integer number (13159440).

Almost surely, 2260252020 is an apocalyptic number.

260252020 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 260252020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315826560).

260252020 is an abundant number, since it is smaller than the sum of its proper divisors (371401100).

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

260252020 is a wasteful number, since it uses less digits than its factorization.

260252020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20992 (or 20990 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 260252020 is about 16132.3284122287. The cubic root of 260252020 is about 638.4565836420.

The spelling of 260252020 in words is "two hundred sixty million, two hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1780 2492 3115 6230 12460 20887 41774 83548 104435 146209 208870 292418 417740 584836 731045 1462090 1858943 2924180 3717886 7435772 9294715 13012601 18589430 26025202 37178860 52050404 65063005 130126010 260252020