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27028300 = 225213171223
BaseRepresentation
bin110011100011…
…0101101001100
31212212011212011
41213012231030
523404401200
62403151004
7445510465
oct147065514
955764764
1027028300
1114290842
129075464
1357a44a0
143837d6c
15258d5ba
hex19c6b4c

27028300 has 72 divisors (see below), whose sum is σ = 66933216. Its totient is φ = 9384960.

The previous prime is 27028291. The next prime is 27028301. The reversal of 27028300 is 382072.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27028301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21489 + ... + 22711.

It is an arithmetic number, because the mean of its divisors is an integer number (929628).

Almost surely, 227028300 is an apocalyptic number.

27028300 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 27028300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33466608).

27028300 is an abundant number, since it is smaller than the sum of its proper divisors (39904916).

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

27028300 is a wasteful number, since it uses less digits than its factorization.

27028300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 27028300 is about 5198.8748782790. The cubic root of 27028300 is about 300.1047782156.

The spelling of 27028300 in words is "twenty-seven million, twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1223 1300 1700 2210 2446 4420 4892 5525 6115 11050 12230 15899 20791 22100 24460 30575 31798 41582 61150 63596 79495 83164 103955 122300 158990 207910 270283 317980 397475 415820 519775 540566 794950 1039550 1081132 1351415 1589900 2079100 2702830 5405660 6757075 13514150 27028300