Search a number
-
+
12371506140 = 22357291015723
BaseRepresentation
bin10111000010110011…
…00011001111011100
31011221012011121222010
423201121203033130
5200314101144030
65403340151220
7615402032010
oct134131431734
934835147863
1012371506140
115279435744
122493238510
13122210a846
148550c6540
154c61a66b0
hex2e16633dc

12371506140 has 96 divisors (see below), whose sum is σ = 40953991680. Its totient is φ = 2730260736.

The previous prime is 12371506139. The next prime is 12371506177. The reversal of 12371506140 is 4160517321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12371506098 and 12371506107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495682 + ... + 520041.

It is an arithmetic number, because the mean of its divisors is an integer number (426604080).

Almost surely, 212371506140 is an apocalyptic number.

12371506140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12371506140 is an abundant number, since it is smaller than the sum of its proper divisors (28582485540).

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

12371506140 is a wasteful number, since it uses less digits than its factorization.

12371506140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015771 (or 1015769 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 12371506140 in words is "twelve billion, three hundred seventy-one million, five hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6090 12180 1015723 2031446 3047169 4062892 5078615 6094338 7110061 10157230 12188676 14220122 15235845 20314460 21330183 28440244 29455967 30471690 35550305 42660366 58911934 60943380 71100610 85320732 88367901 106650915 117823868 142201220 147279835 176735802 206191769 213301830 294559670 353471604 412383538 426603660 441839505 589119340 618575307 824767076 883679010 1030958845 1237150614 1767358020 2061917690 2474301228 3092876535 4123835380 6185753070 12371506140