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135427300 = 22527571789
BaseRepresentation
bin10000001001001…
…11010011100100
3100102211102022221
420010213103210
5234132133200
621234402124
73233053531
oct1004472344
9312742287
10135427300
116a499598
1239430344
1322098bc8
1413db3d88
15bd5191a
hex81274e4

135427300 has 36 divisors (see below), whose sum is σ = 294429940. Its totient is φ = 54069120.

The previous prime is 135427297. The next prime is 135427319. The reversal of 135427300 is 3724531.

It can be written as a sum of positive squares in 6 ways, for example, as 4919524 + 130507776 = 2218^2 + 11424^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74806 + ... + 76594.

Almost surely, 2135427300 is an apocalyptic number.

135427300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135427300 is an abundant number, since it is smaller than the sum of its proper divisors (159002640).

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

135427300 is a wasteful number, since it uses less digits than its factorization.

135427300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 135427300 is about 11637.3235754618. The cubic root of 135427300 is about 513.5334530178.

The spelling of 135427300 in words is "one hundred thirty-five million, four hundred twenty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 757 1514 1789 3028 3578 3785 7156 7570 8945 15140 17890 18925 35780 37850 44725 75700 89450 178900 1354273 2708546 5417092 6771365 13542730 27085460 33856825 67713650 135427300