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2142601272 = 2332719223747
BaseRepresentation
bin111111110110101…
…1000000000111000
312112022200102101200
41333231120000320
513342001220042
6552335214200
7104044544640
oct17755300070
95468612350
102142601272
119aa496059
124b9677360
13281b85706
141647b9520
15c817ec4c
hex7fb58038

2142601272 has 96 divisors (see below), whose sum is σ = 6980937600. Its totient is φ = 579949632.

The previous prime is 2142601213. The next prime is 2142601283. The reversal of 2142601272 is 2721062412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102298 + ... + 121449.

It is an arithmetic number, because the mean of its divisors is an integer number (72718100).

Almost surely, 22142601272 is an apocalyptic number.

It is an amenable number.

2142601272 is an abundant number, since it is smaller than the sum of its proper divisors (4838336328).

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

2142601272 is a wasteful number, since it uses less digits than its factorization.

2142601272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223785 (or 223778 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2142601272 is about 46288.2411849921. The cubic root of 2142601272 is about 1289.1806731632.

Adding to 2142601272 its reverse (2721062412), we get a palindrome (4863663684).

The spelling of 2142601272 in words is "two billion, one hundred forty-two million, six hundred one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 223747 447494 671241 894988 1342482 1566229 1789976 2013723 2684964 3132458 4027446 4251193 4698687 5369928 6264916 8054892 8502386 9397374 12529832 12753579 14096061 16109784 17004772 18794748 25507158 28192122 29758351 34009544 37589496 38260737 51014316 56384244 59516702 76521474 89275053 102028632 112768488 119033404 153042948 178550106 238066808 267825159 306085896 357100212 535650318 714200424 1071300636 2142601272