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2127143720 = 2351310937529
BaseRepresentation
bin111111011001001…
…1010001100101000
312111020121002121202
41332302122030220
513324022044340
6551024023332
7103466265122
oct17662321450
95436532552
102127143720
119a1798619
124b4461b48
1327b902a30
14162714212
15c6b29c15
hex7ec9a328

2127143720 has 64 divisors (see below), whose sum is σ = 5201658000. Its totient is φ = 778180608.

The previous prime is 2127143713. The next prime is 2127143761. The reversal of 2127143720 is 273417212.

It can be written as a sum of positive squares in 8 ways, for example, as 200109316 + 1927034404 = 14146^2 + 43898^2 .

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, 37916 + ... + 75444.

Almost surely, 22127143720 is an apocalyptic number.

2127143720 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 2127143720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600829000).

2127143720 is an abundant number, since it is smaller than the sum of its proper divisors (3074514280).

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

2127143720 is a wasteful number, since it uses less digits than its factorization.

2127143720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37662 (or 37658 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 2127143720 is about 46120.9683332863. The cubic root of 2127143720 is about 1286.0729722118.

The spelling of 2127143720 in words is "two billion, one hundred twenty-seven million, one hundred forty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 109 130 218 260 436 520 545 872 1090 1417 2180 2834 4360 5668 7085 11336 14170 28340 37529 56680 75058 150116 187645 300232 375290 487877 750580 975754 1501160 1951508 2439385 3903016 4090661 4878770 8181322 9757540 16362644 19515080 20453305 32725288 40906610 53178593 81813220 106357186 163626440 212714372 265892965 425428744 531785930 1063571860 2127143720