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27412480 = 21152677
BaseRepresentation
bin110100010010…
…0100000000000
31220120200212001
41220210200000
524004144410
62415313344
7452000524
oct150444000
956520761
1027412480
1114523447
12921b854
1358aa304
1438d7d84
15261733a
hex1a24800

27412480 has 48 divisors (see below), whose sum is σ = 65798460. Its totient is φ = 10960896.

The previous prime is 27412471. The next prime is 27412499. The reversal of 27412480 is 8421472.

It can be written as a sum of positive squares in 2 ways, for example, as 23348224 + 4064256 = 4832^2 + 2016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8902 + ... + 11578.

Almost surely, 227412480 is an apocalyptic number.

27412480 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 27412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32899230).

27412480 is an abundant number, since it is smaller than the sum of its proper divisors (38385980).

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

27412480 is an equidigital number, since it uses as much as digits as its factorization.

27412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 27412480 is about 5235.6928863332. The cubic root of 27412480 is about 301.5199894706.

The spelling of 27412480 in words is "twenty-seven million, four hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 2677 5120 5354 10240 10708 13385 21416 26770 42832 53540 85664 107080 171328 214160 342656 428320 685312 856640 1370624 1713280 2741248 3426560 5482496 6853120 13706240 27412480