Search a number
-
+
2040134300 = 2252175322643
BaseRepresentation
bin111100110011001…
…1111101010011100
312021011212120010122
41321212133222130
513134233244200
6534235054112
7101361566261
oct17146375234
95234776118
102040134300
1195766a106
1248b2a1338
1326688a079
14154d45268
15be18e385
hex7999fa9c

2040134300 has 72 divisors (see below), whose sum is σ = 4776163056. Its totient is φ = 753525760.

The previous prime is 2040134279. The next prime is 2040134303. The reversal of 2040134300 is 34310402.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040134303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78779 + ... + 101421.

It is an arithmetic number, because the mean of its divisors is an integer number (66335598).

Almost surely, 22040134300 is an apocalyptic number.

2040134300 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 2040134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388081528).

2040134300 is an abundant number, since it is smaller than the sum of its proper divisors (2736028756).

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

2040134300 is a wasteful number, since it uses less digits than its factorization.

2040134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22727 (or 22720 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2040134300 is about 45167.8458640657. The cubic root of 2040134300 is about 1268.2929718402.

Adding to 2040134300 its reverse (34310402), we get a palindrome (2074444702).

The spelling of 2040134300 in words is "two billion, forty million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 212 265 340 425 530 850 901 1060 1325 1700 1802 2650 3604 4505 5300 9010 18020 22525 22643 45050 45286 90100 90572 113215 226430 384931 452860 566075 769862 1132150 1200079 1539724 1924655 2264300 2400158 3849310 4800316 6000395 7698620 9623275 12000790 19246550 20401343 24001580 30001975 38493100 40802686 60003950 81605372 102006715 120007900 204013430 408026860 510033575 1020067150 2040134300