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2130483200 = 2115241611
BaseRepresentation
bin111111011111100…
…1001100000000000
312111110212202112012
41332333021200000
513330400430300
6551223352052
7103536544166
oct17677114000
95443782465
102130483200
119a366961a
124b55b2628
1327c501a61
14162d43236
15c7089435
hex7efc9800

2130483200 has 72 divisors (see below), whose sum is σ = 5282435340. Its totient is φ = 852172800.

The previous prime is 2130483191. The next prime is 2130483217. The reversal of 2130483200 is 23840312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30395 + ... + 72005.

Almost surely, 22130483200 is an apocalyptic number.

2130483200 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 2130483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641217670).

2130483200 is an abundant number, since it is smaller than the sum of its proper divisors (3151952140).

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

2130483200 is an equidigital number, since it uses as much as digits as its factorization.

2130483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41643 (or 41618 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2130483200 is about 46157.1576247931. The cubic root of 2130483200 is about 1286.7456378398.

The spelling of 2130483200 in words is "two billion, one hundred thirty million, four hundred eighty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 5120 6400 10240 12800 25600 41611 51200 83222 166444 208055 332888 416110 665776 832220 1040275 1331552 1664440 2080550 2663104 3328880 4161100 5326208 6657760 8322200 10652416 13315520 16644400 21304832 26631040 33288800 42609664 53262080 66577600 85219328 106524160 133155200 213048320 266310400 426096640 532620800 1065241600 2130483200