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2130424000 = 2653283941
BaseRepresentation
bin111111011111011…
…1011000011000000
312111110202202022121
41332332323003000
513330342032000
6551222214024
7103536206455
oct17676730300
95443682277
102130424000
119a36290a1
124b5584314
1327c4b0b23
14162d2982c
15c7076b1a
hex7efbb0c0

2130424000 has 112 divisors (see below), whose sum is σ = 5300264736. Its totient is φ = 848256000.

The previous prime is 2130423989. The next prime is 2130424031. The reversal of 2130424000 is 4240312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2263530 + ... + 2264470.

Almost surely, 22130424000 is an apocalyptic number.

2130424000 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 2130424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650132368).

2130424000 is an abundant number, since it is smaller than the sum of its proper divisors (3169840736).

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

2130424000 is an equidigital number, since it uses as much as digits as its factorization.

2130424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2130424000 is about 46156.5163330163. The cubic root of 2130424000 is about 1286.7337194094.

Adding to 2130424000 its reverse (4240312), we get a palindrome (2134664312).

The spelling of 2130424000 in words is "two billion, one hundred thirty million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 283 320 400 500 566 800 941 1000 1132 1415 1600 1882 2000 2264 2830 3764 4000 4528 4705 5660 7075 7528 8000 9056 9410 11320 14150 15056 18112 18820 22640 23525 28300 30112 35375 37640 45280 47050 56600 60224 70750 75280 90560 94100 113200 117625 141500 150560 188200 226400 235250 266303 283000 301120 376400 452800 470500 532606 566000 752800 941000 1065212 1132000 1331515 1505600 1882000 2130424 2264000 2663030 3764000 4260848 5326060 6657575 7528000 8521696 10652120 13315150 17043392 21304240 26630300 33287875 42608480 53260600 66575750 85216960 106521200 133151500 213042400 266303000 426084800 532606000 1065212000 2130424000