Search a number
-
+
2043133120 = 26573129423
BaseRepresentation
bin111100111000111…
…1011110011000000
312021101111220202001
41321301323303000
513141020224440
6534423233344
7101426226220
oct17161736300
95241456661
102043133120
11959328176
124902a8854
1326739a012
141554c6080
15be582b9a
hex79c7bcc0

2043133120 has 112 divisors (see below), whose sum is σ = 5739798528. Its totient is φ = 677882880.

The previous prime is 2043133111. The next prime is 2043133123. The reversal of 2043133120 is 213313402.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2043133123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54729 + ... + 84151.

Almost surely, 22043133120 is an apocalyptic number.

2043133120 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 2043133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869899264).

2043133120 is an abundant number, since it is smaller than the sum of its proper divisors (3696665408).

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

2043133120 is a wasteful number, since it uses less digits than its factorization.

2043133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29478 (or 29468 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2043133120 is about 45201.0300767582. The cubic root of 2043133120 is about 1268.9140943978.

Adding to 2043133120 its reverse (213313402), we get a palindrome (2256446522).

The spelling of 2043133120 in words is "two billion, forty-three million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 4340 4960 6944 8680 9920 13888 17360 29423 34720 58846 69440 117692 147115 205961 235384 294230 411922 470768 588460 823844 912113 941536 1029805 1176920 1647688 1824226 1883072 2059610 2353840 3295376 3648452 4119220 4560565 4707680 6384791 6590752 7296904 8238440 9121130 9415360 12769582 13181504 14593808 16476880 18242260 25539164 29187616 31923955 32953760 36484520 51078328 58375232 63847910 65907520 72969040 102156656 127695820 145938080 204313312 255391640 291876160 408626624 510783280 1021566560 2043133120