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2043144 = 23351051
BaseRepresentation
bin111110010110100001000
310211210200000
413302310020
51010340034
6111443000
723236455
oct7626410
93753600
102043144
111176054
12826460
13566c7c
143b282c
152a5599
hex1f2d08

2043144 has 48 divisors (see below), whose sum is σ = 5743920. Its totient is φ = 680400.

The previous prime is 2043121. The next prime is 2043149. The reversal of 2043144 is 4413402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2043149) 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, 1419 + ... + 2469.

It is an arithmetic number, because the mean of its divisors is an integer number (119665).

22043144 is an apocalyptic number.

2043144 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 2043144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871960).

2043144 is an abundant number, since it is smaller than the sum of its proper divisors (3700776).

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

2043144 is a wasteful number, since it uses less digits than its factorization.

2043144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2043144 is about 1429.3858821186. The cubic root of 2043144 is about 126.8916346782.

Adding to 2043144 its reverse (4413402), we get a palindrome (6456546).

It can be divided in two parts, 2043 and 144, that added together give a 7-th power (2187 = 37).

The spelling of 2043144 in words is "two million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1051 1944 2102 3153 4204 6306 8408 9459 12612 18918 25224 28377 37836 56754 75672 85131 113508 170262 227016 255393 340524 510786 681048 1021572 2043144