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2142055320 = 2335234318049
BaseRepresentation
bin111111110101101…
…0010101110011000
312112021122200111020
41333223102232120
513341331232240
6552315402440
7104040112146
oct17753225630
95467580436
102142055320
119aa152959
124b9453420
13281a24072
141646b6596
15c80c30d0
hex7fad2b98

2142055320 has 128 divisors (see below), whose sum is σ = 6861888000. Its totient is φ = 533643264.

The previous prime is 2142055271. The next prime is 2142055327. The reversal of 2142055320 is 235502412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142055327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 109656 + ... + 127704.

It is an arithmetic number, because the mean of its divisors is an integer number (53608500).

Almost surely, 22142055320 is an apocalyptic number.

2142055320 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 2142055320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430944000).

2142055320 is an abundant number, since it is smaller than the sum of its proper divisors (4719832680).

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

2142055320 is a wasteful number, since it uses less digits than its factorization.

2142055320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18129 (or 18125 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2142055320 is about 46282.3435015990. The cubic root of 2142055320 is about 1289.0711660009.

Adding to 2142055320 its reverse (235502412), we get a palindrome (2377557732).

The spelling of 2142055320 in words is "two billion, one hundred forty-two million, fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 43 46 60 69 86 92 115 120 129 138 172 184 215 230 258 276 344 345 430 460 516 552 645 690 860 920 989 1032 1290 1380 1720 1978 2580 2760 2967 3956 4945 5160 5934 7912 9890 11868 14835 18049 19780 23736 29670 36098 39560 54147 59340 72196 90245 108294 118680 144392 180490 216588 270735 360980 415127 433176 541470 721960 776107 830254 1082940 1245381 1552214 1660508 2075635 2165880 2328321 2490762 3104428 3321016 3880535 4151270 4656642 4981524 6208856 6226905 7761070 8302540 9313284 9963048 11641605 12453810 15522140 16605080 17850461 18626568 23283210 24907620 31044280 35700922 46566420 49815240 53551383 71401844 89252305 93132840 107102766 142803688 178504610 214205532 267756915 357009220 428411064 535513830 714018440 1071027660 2142055320