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2040400200 = 2335233710091
BaseRepresentation
bin111100110011110…
…0000100101001000
312021012101001212210
41321213200211020
513134320301300
6534244505120
7101364054426
oct17147404510
95235331783
102040400200
11957830963
1248b3ab1a0
132669510c7
14154db4116
15be1e3050
hex799e0948

2040400200 has 96 divisors (see below), whose sum is σ = 6344638560. Its totient is φ = 542438400.

The previous prime is 2040400199. The next prime is 2040400217. The reversal of 2040400200 is 20040402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 197155 + ... + 207245.

It is an arithmetic number, because the mean of its divisors is an integer number (66089985).

Almost surely, 22040400200 is an apocalyptic number.

2040400200 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 2040400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172319280).

2040400200 is an abundant number, since it is smaller than the sum of its proper divisors (4304238360).

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

2040400200 is a wasteful number, since it uses less digits than its factorization.

2040400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10447 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2040400200 is about 45170.7892337515. The cubic root of 2040400200 is about 1268.3480702474.

Adding to 2040400200 its reverse (20040402), we get a palindrome (2060440602).

The spelling of 2040400200 in words is "two billion, forty million, four hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 337 600 674 1011 1348 1685 2022 2696 3370 4044 5055 6740 8088 8425 10091 10110 13480 16850 20182 20220 25275 30273 33700 40364 40440 50455 50550 60546 67400 80728 100910 101100 121092 151365 201820 202200 242184 252275 302730 403640 504550 605460 756825 1009100 1210920 1513650 2018200 3027300 3400667 6054600 6801334 10202001 13602668 17003335 20404002 27205336 34006670 40808004 51010005 68013340 81616008 85016675 102020010 136026680 170033350 204040020 255050025 340066700 408080040 510100050 680133400 1020200100 2040400200