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2080144 = 241153223
BaseRepresentation
bin111111011110110010000
310220200102101
413323312100
51013031034
6112330144
723452363
oct7736620
93820371
102080144
1111a0930
12843954
1357aa71
143c20da
152b1514
hex1fbd90

2080144 has 40 divisors (see below), whose sum is σ = 4499712. Its totient is φ = 923520.

The previous prime is 2080129. The next prime is 2080151. The reversal of 2080144 is 4410802.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9217 + ... + 9439.

22080144 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 2080144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856).

2080144 is an abundant number, since it is smaller than the sum of its proper divisors (2419568).

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

2080144 is a wasteful number, since it uses less digits than its factorization.

2080144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2080144 is about 1442.2704323392. The cubic root of 2080144 is about 127.6530316804.

Adding to 2080144 its reverse (4410802), we get a palindrome (6490946).

The spelling of 2080144 in words is "two million, eighty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 223 424 446 583 848 892 1166 1784 2332 2453 3568 4664 4906 9328 9812 11819 19624 23638 39248 47276 94552 130009 189104 260018 520036 1040072 2080144