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2127132 = 2232723367
BaseRepresentation
bin1000000111010100011100
311000001212200
420013110130
51021032012
6113331500
724036360
oct10072434
94001780
102127132
111223167
12866b90
13596277
143d52a0
152c03dc
hex20751c

2127132 has 72 divisors (see below), whose sum is σ = 6429696. Its totient is φ = 579744.

The previous prime is 2127077. The next prime is 2127133. The reversal of 2127132 is 2317212.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5613 + ... + 5979.

22127132 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 2127132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214848).

2127132 is an abundant number, since it is smaller than the sum of its proper divisors (4302564).

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

2127132 is a wasteful number, since it uses less digits than its factorization.

2127132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 2127132 is about 1458.4690603506. The cubic root of 2127132 is about 128.6070610233.

The spelling of 2127132 in words is "two million, one hundred twenty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 367 414 483 644 734 828 966 1101 1449 1468 1932 2202 2569 2898 3303 4404 5138 5796 6606 7707 8441 10276 13212 15414 16882 23121 25323 30828 33764 46242 50646 59087 75969 92484 101292 118174 151938 177261 236348 303876 354522 531783 709044 1063566 2127132