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2149704 = 233273409
BaseRepresentation
bin1000001100110101001000
311001012211200
420030311020
51022242304
6114024200
724162234
oct10146510
94035750
102149704
111239117
12878060
135a361b
143dd5c4
152c6e39
hex20cd48

2149704 has 48 divisors (see below), whose sum is σ = 5916300. Its totient is φ = 705024.

The previous prime is 2149703. The next prime is 2149711. The reversal of 2149704 is 4079412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1988100 + 161604 = 1410^2 + 402^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5052 + ... + 5460.

22149704 is an apocalyptic number.

2149704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958150).

2149704 is an abundant number, since it is smaller than the sum of its proper divisors (3766596).

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

2149704 is a wasteful number, since it uses less digits than its factorization.

2149704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2149704 is about 1466.1868912250. The cubic root of 2149704 is about 129.0603647535.

The spelling of 2149704 in words is "two million, one hundred forty-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 409 438 584 657 818 876 1227 1314 1636 1752 2454 2628 3272 3681 4908 5256 7362 9816 14724 29448 29857 59714 89571 119428 179142 238856 268713 358284 537426 716568 1074852 2149704