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2132384 = 25371801
BaseRepresentation
bin1000001000100110100000
311000100002012
420020212200
51021214014
6113412052
724060602
oct10104640
94010065
102132384
111227101
1286a028
13598787
143d7172
152c1c3e
hex2089a0

2132384 has 24 divisors (see below), whose sum is σ = 4313988. Its totient is φ = 1036800.

The previous prime is 2132381. The next prime is 2132387. The reversal of 2132384 is 4832312.

It is an interprime number because it is at equal distance from previous prime (2132381) and next prime (2132387).

It can be written as a sum of positive squares in 2 ways, for example, as 2131600 + 784 = 1460^2 + 28^2 .

It is not an unprimeable number, because it can be changed into a prime (2132381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284 + ... + 2084.

22132384 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 2132384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156994).

2132384 is an abundant number, since it is smaller than the sum of its proper divisors (2181604).

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

2132384 is a wasteful number, since it uses less digits than its factorization.

2132384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1840 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 2132384 is about 1460.2684684674. The cubic root of 2132384 is about 128.7128198798.

Adding to 2132384 its reverse (4832312), we get a palindrome (6964696).

The spelling of 2132384 in words is "two million, one hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1801 3602 7204 14408 28816 57632 66637 133274 266548 533096 1066192 2132384