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260568090 = 23451916931
BaseRepresentation
bin11111000011111…
…11010000011010
3200011022020020000
433201333100122
51013201134330
641504513430
76312535506
oct1741772032
9604266200
10260568090
111240a1732
127331b876
1341ca2a03
142686b306
1517d20560
hexf87f41a

260568090 has 80 divisors (see below), whose sum is σ = 737557920. Its totient is φ = 65823840.

The previous prime is 260568073. The next prime is 260568137. The reversal of 260568090 is 90865062.

260568090 is a `hidden beast` number, since 2 + 6 + 0 + 568 + 0 + 90 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6925 + ... + 23855.

It is an arithmetic number, because the mean of its divisors is an integer number (9219474).

Almost surely, 2260568090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260568090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368778960).

260568090 is an abundant number, since it is smaller than the sum of its proper divisors (476989830).

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

260568090 is a wasteful number, since it uses less digits than its factorization.

260568090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16969 (or 16960 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 260568090 is about 16142.1216077689. The cubic root of 260568090 is about 638.7149426163.

The spelling of 260568090 in words is "two hundred sixty million, five hundred sixty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 15390 16931 33862 50793 84655 101586 152379 169310 253965 304758 321689 457137 507930 643378 761895 914274 965067 1371411 1523790 1608445 1930134 2285685 2742822 2895201 3216890 4571370 4825335 5790402 6857055 8685603 9650670 13714110 14476005 17371206 26056809 28952010 43428015 52113618 86856030 130284045 260568090