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27282340 = 2256532089
BaseRepresentation
bin110100000010…
…0101110100100
31220100002100001
41220010232210
523441013330
62412431044
7450616231
oct150045644
956302301
1027282340
1114444698
129178484
135862cc7
1438a2788
1525dd9ca
hex1a04ba4

27282340 has 24 divisors (see below), whose sum is σ = 57408120. Its totient is φ = 10891008.

The previous prime is 27282337. The next prime is 27282341. The reversal of 27282340 is 4328272.

It can be written as a sum of positive squares in 4 ways, for example, as 4088484 + 23193856 = 2022^2 + 4816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27282299 and 27282308.

It is not an unprimeable number, because it can be changed into a prime (27282341) 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, 12016 + ... + 14104.

It is an arithmetic number, because the mean of its divisors is an integer number (2392005).

Almost surely, 227282340 is an apocalyptic number.

27282340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27282340 is the 2612-nd decagonal number.

It is an amenable number.

27282340 is an abundant number, since it is smaller than the sum of its proper divisors (30125780).

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

27282340 is a wasteful number, since it uses less digits than its factorization.

27282340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 27282340 is about 5223.2499461542. The cubic root of 27282340 is about 301.0420797452.

The spelling of 27282340 in words is "twenty-seven million, two hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 653 1306 2089 2612 3265 4178 6530 8356 10445 13060 20890 41780 1364117 2728234 5456468 6820585 13641170 27282340