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2133810 = 233571129
BaseRepresentation
bin1000001000111100110010
311000102001000
420020330302
51021240220
6113422430
724065010
oct10107462
94012030
102133810
111228188
1286aa16
13599313
143d78b0
152c2390
hex208f32

2133810 has 64 divisors (see below), whose sum is σ = 6508800. Its totient is φ = 487296.

The previous prime is 2133799. The next prime is 2133811. The reversal of 2133810 is 183312.

It is a super-2 number, since 2×21338102 = 9106290232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1326 + ... + 2454.

It is an arithmetic number, because the mean of its divisors is an integer number (101700).

22133810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254400).

2133810 is an abundant number, since it is smaller than the sum of its proper divisors (4374990).

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

2133810 is a wasteful number, since it uses less digits than its factorization.

2133810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2133810 is about 1460.7566532452. The cubic root of 2133810 is about 128.7415050794.

The spelling of 2133810 in words is "two million, one hundred thirty-three thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1129 1890 2258 3387 5645 6774 7903 10161 11290 15806 16935 20322 23709 30483 33870 39515 47418 50805 60966 71127 79030 101610 118545 142254 152415 213381 237090 304830 355635 426762 711270 1066905 2133810