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2040144 = 243192237
BaseRepresentation
bin111110010000101010000
310211122112220
413302011100
51010241034
6111421040
723224641
oct7620520
93748486
102040144
111173877
12824780
135657b2
143b16c8
152a4749
hex1f2150

2040144 has 40 divisors (see below), whose sum is σ = 5550240. Its totient is φ = 643968.

The previous prime is 2040133. The next prime is 2040149. The reversal of 2040144 is 4410402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 2030.

It is an arithmetic number, because the mean of its divisors is an integer number (138756).

22040144 is an apocalyptic number.

2040144 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 2040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775120).

2040144 is an abundant number, since it is smaller than the sum of its proper divisors (3510096).

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

2040144 is a wasteful number, since it uses less digits than its factorization.

2040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2040144 is about 1428.3360949020. The cubic root of 2040144 is about 126.8294981908.

Adding to 2040144 its reverse (4410402), we get a palindrome (6450546).

The spelling of 2040144 in words is "two million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2237 4474 6711 8948 13422 17896 26844 35792 42503 53688 85006 107376 127509 170012 255018 340024 510036 680048 1020072 2040144