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2129727900 = 2235231229003
BaseRepresentation
bin111111011110001…
…0001000110011100
312111102110101110010
41332330101012130
513330202243100
6551155243220
7103530250146
oct17674210634
95442411403
102129727900
119a31a3103
124b52a9510
1327c2c9031
14162bc7c96
15c6e8a750
hex7ef1119c

2129727900 has 72 divisors (see below), whose sum is σ = 6360815104. Its totient is φ = 549604800.

The previous prime is 2129727889. The next prime is 2129727911. The reversal of 2129727900 is 97279212.

It is an interprime number because it is at equal distance from previous prime (2129727889) and next prime (2129727911).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 105202 + ... + 123801.

Almost surely, 22129727900 is an apocalyptic number.

2129727900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2129727900 is an abundant number, since it is smaller than the sum of its proper divisors (4231087204).

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

2129727900 is a wasteful number, since it uses less digits than its factorization.

2129727900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229051 (or 229044 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 2129727900 is about 46148.9750698756. The cubic root of 2129727900 is about 1286.5935606251.

The spelling of 2129727900 in words is "two billion, one hundred twenty-nine million, seven hundred twenty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 229003 458006 687009 916012 1145015 1374018 2290030 2748036 3435045 4580060 5725075 6870090 7099093 11450150 13740180 14198186 17175225 21297279 22900300 28396372 34350450 35495465 42594558 68700900 70990930 85189116 106486395 141981860 177477325 212972790 354954650 425945580 532431975 709909300 1064863950 2129727900