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27080456 = 231317353
BaseRepresentation
bin110011101001…
…1011100001000
31212221211101212
41213103130020
523413033311
62404232252
7446115524
oct147233410
955854355
1027080456
1114316a47
12909b688
1357c2150
14384cd84
15259dc8b
hex19d3708

27080456 has 64 divisors (see below), whose sum is σ = 59194800. Its totient is φ = 11541504.

The previous prime is 27080437. The next prime is 27080467. The reversal of 27080456 is 65408072.

It can be written as a sum of positive squares in 8 ways, for example, as 12716356 + 14364100 = 3566^2 + 3790^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510926 + ... + 510978.

Almost surely, 227080456 is an apocalyptic number.

27080456 is a gapful number since it is divisible by the number (26) 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 27080456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29597400).

27080456 is an abundant number, since it is smaller than the sum of its proper divisors (32114344).

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

27080456 is a wasteful number, since it uses less digits than its factorization.

27080456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 27080456 is about 5203.8885460778. Note that the first 3 decimals coincide. The cubic root of 27080456 is about 300.2976896903.

The spelling of 27080456 in words is "twenty-seven million, eighty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 17 26 34 52 53 68 104 106 136 212 221 289 424 442 578 689 884 901 1156 1378 1768 1802 2312 2756 3604 3757 4913 5512 7208 7514 9826 11713 15028 15317 19652 23426 30056 30634 39304 46852 61268 63869 93704 122536 127738 199121 255476 260389 398242 510952 520778 796484 1041556 1592968 2083112 3385057 6770114 13540228 27080456