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2040301400 = 235279263491
BaseRepresentation
bin111100110011100…
…1000011101011000
312021012012001100112
41321213020131120
513134304121100
6534242423452
7101363163404
oct17147103530
95235161315
102040301400
11957773705
1248b361b88
13266918147
14154d8a104
15be1c3b35
hex799c8758

2040301400 has 96 divisors (see below), whose sum is σ = 4831833600. Its totient is φ = 801091200.

The previous prime is 2040301297. The next prime is 2040301433. The reversal of 2040301400 is 41030402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4155155 + ... + 4155645.

It is an arithmetic number, because the mean of its divisors is an integer number (50331600).

Almost surely, 22040301400 is an apocalyptic number.

2040301400 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 2040301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415916800).

2040301400 is an abundant number, since it is smaller than the sum of its proper divisors (2791532200).

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

2040301400 is a wasteful number, since it uses less digits than its factorization.

2040301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2040301400 is about 45169.6955933954. The cubic root of 2040301400 is about 1268.3275979871.

Adding to 2040301400 its reverse (41030402), we get a palindrome (2081331802).

The spelling of 2040301400 in words is "two billion, forty million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 263 316 395 491 526 632 790 982 1052 1315 1580 1964 1975 2104 2455 2630 3160 3928 3950 4910 5260 6575 7900 9820 10520 12275 13150 15800 19640 20777 24550 26300 38789 41554 49100 52600 77578 83108 98200 103885 129133 155156 166216 193945 207770 258266 310312 387890 415540 516532 519425 645665 775780 831080 969725 1033064 1038850 1291330 1551560 1939450 2077700 2582660 3228325 3878900 4155400 5165320 6456650 7757800 10201507 12913300 20403014 25826600 40806028 51007535 81612056 102015070 204030140 255037675 408060280 510075350 1020150700 2040301400