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2141357580 = 2233537910463
BaseRepresentation
bin111111110100010…
…1000011000001100
312112020100020101000
41333220220120030
513341141420310
6552252420300
7104031145005
oct17750503014
95466306330
102141357580
119a981670a
124b9177690
1328183b5bb
141645741ac
15c7ed64c0
hex7fa2860c

2141357580 has 96 divisors (see below), whose sum is σ = 6680217600. Its totient is φ = 569467584.

The previous prime is 2141357579. The next prime is 2141357599. The reversal of 2141357580 is 857531412.

2141357580 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 575 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199429 + ... + 209891.

It is an arithmetic number, because the mean of its divisors is an integer number (69585600).

Almost surely, 22141357580 is an apocalyptic number.

2141357580 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 2141357580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340108800).

2141357580 is an abundant number, since it is smaller than the sum of its proper divisors (4538860020).

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

2141357580 is a wasteful number, since it uses less digits than its factorization.

2141357580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10860 (or 10852 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2141357580 is about 46274.8050239004. The cubic root of 2141357580 is about 1288.9311860816.

Adding to 2141357580 its reverse (857531412), we get a palindrome (2998888992).

The spelling of 2141357580 in words is "two billion, one hundred forty-one million, three hundred fifty-seven thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 379 540 758 1137 1516 1895 2274 3411 3790 4548 5685 6822 7580 10233 10463 11370 13644 17055 20466 20926 22740 31389 34110 40932 41852 51165 52315 62778 68220 94167 102330 104630 125556 156945 188334 204660 209260 282501 313890 376668 470835 565002 627780 941670 1130004 1412505 1883340 2825010 3965477 5650020 7930954 11896431 15861908 19827385 23792862 35689293 39654770 47585724 59482155 71378586 79309540 107067879 118964310 142757172 178446465 214135758 237928620 356892930 428271516 535339395 713785860 1070678790 2141357580