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2673144 = 2332137271
BaseRepresentation
bin1010001100100111111000
312000210212100
422030213320
51141020034
6133143400
731502265
oct12144770
95023770
102673144
111566411
12a8ab60
13727956
144d826c
1537c099
hex28c9f8

2673144 has 48 divisors (see below), whose sum is σ = 7319520. Its totient is φ = 881280.

The previous prime is 2673137. The next prime is 2673149. The reversal of 2673144 is 4413762.

2673144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2673149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9729 + ... + 9999.

It is an arithmetic number, because the mean of its divisors is an integer number (152490).

22673144 is an apocalyptic number.

2673144 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 2673144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659760).

2673144 is an abundant number, since it is smaller than the sum of its proper divisors (4646376).

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

2673144 is a wasteful number, since it uses less digits than its factorization.

2673144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2673144 is about 1634.9752291702. The cubic root of 2673144 is about 138.7844423870.

The spelling of 2673144 in words is "two million, six hundred seventy-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 271 274 411 542 548 813 822 1084 1096 1233 1626 1644 2168 2439 2466 3252 3288 4878 4932 6504 9756 9864 19512 37127 74254 111381 148508 222762 297016 334143 445524 668286 891048 1336572 2673144