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2041235300 = 2252133150651
BaseRepresentation
bin111100110101010…
…1100011101100100
312021020221111102102
41321222230131210
513140024012200
6534314431232
7101404133216
oct17152543544
95236844372
102041235300
11958251325
1248b732518
13266b84250
141551505b6
15be30a6d5
hex79aac764

2041235300 has 72 divisors (see below), whose sum is σ = 4924184832. Its totient is φ = 729360000.

The previous prime is 2041235293. The next prime is 2041235321. The reversal of 2041235300 is 35321402.

It is a happy number.

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, 14975 + ... + 65625.

It is an arithmetic number, because the mean of its divisors is an integer number (68391456).

Almost surely, 22041235300 is an apocalyptic number.

2041235300 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 2041235300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462092416).

2041235300 is an abundant number, since it is smaller than the sum of its proper divisors (2882949532).

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

2041235300 is a wasteful number, since it uses less digits than its factorization.

2041235300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50709 (or 50702 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2041235300 is about 45180.0320938354. The cubic root of 2041235300 is about 1268.5210841824.

Adding to 2041235300 its reverse (35321402), we get a palindrome (2076556702).

The spelling of 2041235300 in words is "two billion, forty-one million, two hundred thirty-five thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 260 310 325 403 620 650 775 806 1300 1550 1612 2015 3100 4030 8060 10075 20150 40300 50651 101302 202604 253255 506510 658463 1013020 1266275 1316926 1570181 2532550 2633852 3140362 3292315 5065100 6280724 6584630 7850905 13169260 15701810 16461575 20412353 31403620 32923150 39254525 40824706 65846300 78509050 81649412 102061765 157018100 204123530 408247060 510308825 1020617650 2041235300