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2135440 = 24526693
BaseRepresentation
bin1000001001010110010000
311000111021101
420021112100
51021313230
6113434144
724102526
oct10112620
94014241
102135440
11122942a
1286b954
13599c98
143d8316
152c2aca
hex209590

2135440 has 20 divisors (see below), whose sum is σ = 4965084. Its totient is φ = 854144.

The previous prime is 2135417. The next prime is 2135447. The reversal of 2135440 is 445312.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 1893376 = 492^2 + 1376^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2135447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13267 + ... + 13426.

22135440 is an apocalyptic number.

2135440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135440 is an abundant number, since it is smaller than the sum of its proper divisors (2829644).

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

2135440 is a wasteful number, since it uses less digits than its factorization.

2135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26706 (or 26700 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2135440 is about 1461.3144767640. The cubic root of 2135440 is about 128.7742782632.

The spelling of 2135440 in words is "two million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26693 53386 106772 133465 213544 266930 427088 533860 1067720 2135440