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2135400 = 233523559
BaseRepresentation
bin1000001001010101101000
311000111012220
420021111220
51021313100
6113434040
724102441
oct10112550
94014186
102135400
1112293a3
1286b920
13599c67
143d82c8
152c2aa0
hex209568

2135400 has 48 divisors (see below), whose sum is σ = 6621600. Its totient is φ = 569280.

The previous prime is 2135383. The next prime is 2135401. The reversal of 2135400 is 45312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2135400.

It is not an unprimeable number, because it can be changed into a prime (2135401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1180 + ... + 2379.

It is an arithmetic number, because the mean of its divisors is an integer number (137950).

22135400 is an apocalyptic number.

2135400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135400 is an abundant number, since it is smaller than the sum of its proper divisors (4486200).

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

2135400 is a wasteful number, since it uses less digits than its factorization.

2135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2135400 is about 1461.3007903919. The cubic root of 2135400 is about 128.7734742129.

The spelling of 2135400 in words is "two million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3559 7118 10677 14236 17795 21354 28472 35590 42708 53385 71180 85416 88975 106770 142360 177950 213540 266925 355900 427080 533850 711800 1067700 2135400