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2130410240 = 2857233967
BaseRepresentation
bin111111011111011…
…0111101100000000
312111110202001102222
41332332313230000
513330341111430
6551222030212
7103536121400
oct17676675400
95443661388
102130410240
119a3619822
124b5578368
1327c4a779a
14162d24800
15c70729e5
hex7efb7b00

2130410240 has 108 divisors (see below), whose sum is σ = 5936315616. Its totient is φ = 730404864.

The previous prime is 2130410203. The next prime is 2130410257. The reversal of 2130410240 is 420140312.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45737 + ... + 79703.

Almost surely, 22130410240 is an apocalyptic number.

2130410240 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 2130410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968157808).

2130410240 is an abundant number, since it is smaller than the sum of its proper divisors (3805905376).

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

2130410240 is an equidigital number, since it uses as much as digits as its factorization.

2130410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34002 (or 33981 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2130410240 is about 46156.3672747325. The cubic root of 2130410240 is about 1286.7309491480.

Adding to 2130410240 its reverse (420140312), we get a palindrome (2550550552).

The spelling of 2130410240 in words is "two billion, one hundred thirty million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 560 640 784 896 980 1120 1280 1568 1792 1960 2240 3136 3920 4480 6272 7840 8960 12544 15680 31360 33967 62720 67934 135868 169835 237769 271736 339670 475538 543472 679340 951076 1086944 1188845 1358680 1664383 1902152 2173888 2377690 2717360 3328766 3804304 4347776 4755380 5434720 6657532 7608608 8321915 8695552 9510760 10869440 13315064 15217216 16643830 19021520 21738880 26630128 30434432 33287660 38043040 43477760 53260256 60868864 66575320 76086080 106520512 133150640 152172160 213041024 266301280 304344320 426082048 532602560 1065205120 2130410240