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2133124 = 227293771
BaseRepresentation
bin1000001000110010000100
311000101002121
420020302010
51021224444
6113415324
724063010
oct10106204
94011077
102133124
111227714
1286a544
13598c06
143d7540
152c2084
hex208c84

2133124 has 48 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 846720.

The previous prime is 2133121. The next prime is 2133137. The reversal of 2133124 is 4213312.

2133124 = 1672 + 1682 + ... + 2222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2133098 and 2133107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30009 + ... + 30079.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

22133124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

2133124 is an abundant number, since it is smaller than the sum of its proper divisors (2463356).

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

2133124 is a wasteful number, since it uses less digits than its factorization.

2133124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 2133124 is about 1460.5218245545. The cubic root of 2133124 is about 128.7277072032.

Adding to 2133124 its reverse (4213312), we get a palindrome (6346436).

The spelling of 2133124 in words is "two million, one hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 37 58 71 74 116 142 148 203 259 284 406 497 518 812 994 1036 1073 1988 2059 2146 2627 4118 4292 5254 7511 8236 10508 14413 15022 18389 28826 30044 36778 57652 73556 76183 152366 304732 533281 1066562 2133124