Search a number
-
+
2054243000 = 23537128933
BaseRepresentation
bin111101001110001…
…0100001010111000
312022011102100122002
41322130110022320
513201341234000
6535501320132
7101622530435
oct17234241270
95264370562
102054243000
11964626197
12493b66048
13269789b04
14156b78b8c
15c05298d5
hex7a7142b8

2054243000 has 64 divisors (see below), whose sum is σ = 4874800320. Its totient is φ = 810096000.

The previous prime is 2054242987. The next prime is 2054243003. The reversal of 2054243000 is 3424502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054243003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56534 + ... + 85466.

It is an arithmetic number, because the mean of its divisors is an integer number (76168755).

Almost surely, 22054243000 is an apocalyptic number.

2054243000 is a gapful number since it is divisible by the number (20) 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 2054243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437400160).

2054243000 is an abundant number, since it is smaller than the sum of its proper divisors (2820557320).

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

2054243000 is a wasteful number, since it uses less digits than its factorization.

2054243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29025 (or 29011 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2054243000 is about 45323.7575670862. The cubic root of 2054243000 is about 1271.2099160481.

Adding to 2054243000 its reverse (3424502), we get a palindrome (2057667502).

The spelling of 2054243000 in words is "two billion, fifty-four million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1775 2840 3550 7100 8875 14200 17750 28933 35500 57866 71000 115732 144665 231464 289330 578660 723325 1157320 1446650 2054243 2893300 3616625 4108486 5786600 7233250 8216972 10271215 14466500 16433944 20542430 28933000 41084860 51356075 82169720 102712150 205424300 256780375 410848600 513560750 1027121500 2054243000