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2042143000 = 2353532727
BaseRepresentation
bin111100110111000…
…1010000100011000
312021022122121112221
41321232022010120
513140242034000
6534350113424
7101414633452
oct17156120430
95238577487
102042143000
11958811297
1248baab874
13267111451
141553092d2
15be43961a
hex79b8a118

2042143000 has 96 divisors (see below), whose sum is σ = 4877177760. Its totient is φ = 800342400.

The previous prime is 2042142959. The next prime is 2042143001. The reversal of 2042143000 is 3412402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042143001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2808637 + ... + 2809363.

It is an arithmetic number, because the mean of its divisors is an integer number (50803935).

Almost surely, 22042143000 is an apocalyptic number.

2042143000 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 2042143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438588880).

2042143000 is an abundant number, since it is smaller than the sum of its proper divisors (2835034760).

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

2042143000 is an equidigital number, since it uses as much as digits as its factorization.

2042143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2042143000 is about 45190.0763442595. The cubic root of 2042143000 is about 1268.7090856924.

Adding to 2042143000 its reverse (3412402), we get a palindrome (2045555402).

The spelling of 2042143000 in words is "two billion, forty-two million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 727 1000 1060 1325 1454 2120 2650 2809 2908 3635 5300 5618 5816 6625 7270 10600 11236 13250 14045 14540 18175 22472 26500 28090 29080 36350 38531 53000 56180 70225 72700 77062 90875 112360 140450 145400 154124 181750 192655 280900 308248 351125 363500 385310 561800 702250 727000 770620 963275 1404500 1541240 1926550 2042143 2809000 3853100 4084286 4816375 7706200 8168572 9632750 10210715 16337144 19265500 20421430 38531000 40842860 51053575 81685720 102107150 204214300 255267875 408428600 510535750 1021071500 2042143000