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2145088 = 26112277
BaseRepresentation
bin1000001011101101000000
311000222111201
420023231000
51022120323
6113550544
724142621
oct10135500
94028451
102145088
111235700
12875454
135a14aa
143dba48
152c58ad
hex20bb40

2145088 has 42 divisors (see below), whose sum is σ = 4695698. Its totient is φ = 971520.

The previous prime is 2145083. The next prime is 2145089. The reversal of 2145088 is 8805412.

It can be written as a sum of positive squares in only one way, i.e., 1517824 + 627264 = 1232^2 + 792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7606 + ... + 7882.

22145088 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 2145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347849).

2145088 is an abundant number, since it is smaller than the sum of its proper divisors (2550610).

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

2145088 is a wasteful number, since it uses less digits than its factorization.

2145088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 2145088 is about 1464.6118939842. The cubic root of 2145088 is about 128.9679226374.

The spelling of 2145088 in words is "two million, one hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 277 352 484 554 704 968 1108 1936 2216 3047 3872 4432 6094 7744 8864 12188 17728 24376 33517 48752 67034 97504 134068 195008 268136 536272 1072544 2145088