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260003680 = 2552815783
BaseRepresentation
bin11110111111101…
…01011101100000
3200010020112222221
433133311131200
51013030104210
641444440424
76304665136
oct1737653540
9603215887
10260003680
11123846682
12730a9114
1341b35b41
1426761756
1517c5d1da
hexf7f5760

260003680 has 48 divisors (see below), whose sum is σ = 616551264. Its totient is φ = 103613440.

The previous prime is 260003629. The next prime is 260003683. The reversal of 260003680 is 86300062.

It is a super-2 number, since 2×2600036802 = 135203827227084800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260003683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42069 + ... + 47851.

It is an arithmetic number, because the mean of its divisors is an integer number (12844818).

Almost surely, 2260003680 is an apocalyptic number.

260003680 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 260003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308275632).

260003680 is an abundant number, since it is smaller than the sum of its proper divisors (356547584).

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

260003680 is a wasteful number, since it uses less digits than its factorization.

260003680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6079 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 260003680 is about 16124.6296081491. The cubic root of 260003680 is about 638.2534411046.

The spelling of 260003680 in words is "two hundred sixty million, three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 281 562 1124 1405 2248 2810 4496 5620 5783 8992 11240 11566 22480 23132 28915 44960 46264 57830 92528 115660 185056 231320 462640 925280 1625023 3250046 6500092 8125115 13000184 16250230 26000368 32500460 52000736 65000920 130001840 260003680