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2042323400 = 2352133125339
BaseRepresentation
bin111100110111011…
…0110000111001000
312021022222210000102
41321232312013020
513140313322100
6534354024532
7101416314425
oct17156660710
95238883012
102042323400
11958924887
1248bb78148
132671755b0
14155354d4c
15be472cd5
hex79bb61c8

2042323400 has 96 divisors (see below), whose sum is σ = 5278828800. Its totient is φ = 729734400.

The previous prime is 2042323363. The next prime is 2042323427. The reversal of 2042323400 is 43232402.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67931 + ... + 93269.

It is an arithmetic number, because the mean of its divisors is an integer number (54987800).

Almost surely, 22042323400 is an apocalyptic number.

2042323400 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 2042323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639414400).

2042323400 is an abundant number, since it is smaller than the sum of its proper divisors (3236505400).

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

2042323400 is a wasteful number, since it uses less digits than its factorization.

2042323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25399 (or 25390 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2042323400 is about 45192.0723136260. The cubic root of 2042323400 is about 1268.7464432427.

Adding to 2042323400 its reverse (43232402), we get a palindrome (2085555802).

The spelling of 2042323400 in words is "two billion, forty-two million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 200 248 260 310 325 403 520 620 650 775 806 1240 1300 1550 1612 2015 2600 3100 3224 4030 6200 8060 10075 16120 20150 25339 40300 50678 80600 101356 126695 202712 253390 329407 506780 633475 658814 785509 1013560 1266950 1317628 1571018 1647035 2533900 2635256 3142036 3294070 3927545 5067800 6284072 6588140 7855090 8235175 10211617 13176280 15710180 16470350 19637725 20423234 31420360 32940700 39275450 40846468 51058085 65881400 78550900 81692936 102116170 157101800 204232340 255290425 408464680 510580850 1021161700 2042323400