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2132131040 = 255132292719
BaseRepresentation
bin111111100010101…
…1011110011100000
312111120222110221022
41333011123303200
513331311143130
6551322545012
7103556546324
oct17705336340
95446873838
102132131040
119a4594676
124b6068168
1327c95ab00
14163251984
15c72b27e5
hex7f15bce0

2132131040 has 144 divisors (see below), whose sum is σ = 5644598400. Its totient is φ = 759822336.

The previous prime is 2132131019. The next prime is 2132131063. The reversal of 2132131040 is 401312312.

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, 782801 + ... + 785519.

It is an arithmetic number, because the mean of its divisors is an integer number (39198600).

Almost surely, 22132131040 is an apocalyptic number.

2132131040 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 2132131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822299200).

2132131040 is an abundant number, since it is smaller than the sum of its proper divisors (3512467360).

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

2132131040 is a wasteful number, since it uses less digits than its factorization.

2132131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2132131040 is about 46175.0044937735. The cubic root of 2132131040 is about 1287.0773003940.

Adding to 2132131040 its reverse (401312312), we get a palindrome (2533443352).

The spelling of 2132131040 in words is "two billion, one hundred thirty-two million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 169 208 232 260 290 338 377 416 464 520 580 676 754 845 928 1040 1160 1352 1508 1690 1885 2080 2320 2704 2719 3016 3380 3770 4640 4901 5408 5438 6032 6760 7540 9802 10876 12064 13520 13595 15080 19604 21752 24505 27040 27190 30160 35347 39208 43504 49010 54380 60320 70694 78416 78851 87008 98020 108760 141388 156832 157702 176735 196040 217520 282776 315404 353470 392080 394255 435040 459511 565552 630808 706940 784160 788510 919022 1025063 1131104 1261616 1413880 1577020 1838044 2050126 2297555 2523232 2827760 3154040 3676088 4100252 4595110 5125315 5655520 6308080 7352176 8200504 9190220 10250630 12616160 13325819 14704352 16401008 18380440 20501260 26651638 32802016 36760880 41002520 53303276 66629095 73521760 82005040 106606552 133258190 164010080 213213104 266516380 426426208 533032760 1066065520 2132131040