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2142031240 = 235437331699
BaseRepresentation
bin111111110101100…
…1100110110001000
312112021121110110101
41333223030312020
513341324444430
6552315055144
7104036652016
oct17753146610
95467543411
102142031240
119aa136858
124b94414b4
13281a1610b
141646ab8b6
15c80badca
hex7faccd88

2142031240 has 64 divisors (see below), whose sum is σ = 4941288000. Its totient is φ = 835252992.

The previous prime is 2142031237. The next prime is 2142031261. The reversal of 2142031240 is 421302412.

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, 1259911 + ... + 1261609.

It is an arithmetic number, because the mean of its divisors is an integer number (77207625).

Almost surely, 22142031240 is an apocalyptic number.

2142031240 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 2142031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470644000).

2142031240 is an abundant number, since it is smaller than the sum of its proper divisors (2799256760).

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

2142031240 is a wasteful number, since it uses less digits than its factorization.

2142031240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2142031240 is about 46282.0833584660. The cubic root of 2142031240 is about 1289.0663356012.

Adding to 2142031240 its reverse (421302412), we get a palindrome (2563333652).

The spelling of 2142031240 in words is "two billion, one hundred forty-two million, thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 733 860 1466 1699 1720 2932 3398 3665 5864 6796 7330 8495 13592 14660 16990 29320 31519 33980 63038 67960 73057 126076 146114 157595 252152 292228 315190 365285 584456 630380 730570 1245367 1260760 1461140 2490734 2922280 4981468 6226835 9962936 12453670 24907340 49814680 53550781 107101562 214203124 267753905 428406248 535507810 1071015620 2142031240