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26530560 = 283257247
BaseRepresentation
bin110010100110…
…1001100000000
31211220220002100
41211031030000
523242434220
62344350400
7441335400
oct145151400
954826070
1026530560
1113a80891
128a75400
13565ba74
143748800
1524e0d90
hex194d300

26530560 has 324 divisors, whose sum is σ = 109051488. Its totient is φ = 5935104.

The previous prime is 26530529. The next prime is 26530571. The reversal of 26530560 is 6503562.

26530560 is a `hidden beast` number, since 2 + 653 + 0 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×265305602 = 1407741227827200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564457 + ... + 564503.

Almost surely, 226530560 is an apocalyptic number.

26530560 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 26530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54525744).

26530560 is an abundant number, since it is smaller than the sum of its proper divisors (82520928).

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

26530560 is a wasteful number, since it uses less digits than its factorization.

26530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 26530560 is about 5150.7824648300. The cubic root of 26530560 is about 298.2511583194.

The spelling of 26530560 in words is "twenty-six million, five hundred thirty thousand, five hundred sixty".