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2126002140 = 223552931493
BaseRepresentation
bin111111010111000…
…0011011111011100
312111011110002200000
41332232003133130
513323224032030
6550543334300
7103453501653
oct17656033734
95434402600
102126002140
119a1088969
124b3bb1390
1327b5c3242
141624d819a
15c69a1860
hex7eb837dc

2126002140 has 144 divisors (see below), whose sum is σ = 6715039968. Its totient is φ = 564620544.

The previous prime is 2126002127. The next prime is 2126002147. The reversal of 2126002140 is 412006212.

2126002140 is a `hidden beast` number, since 2 + 1 + 2 + 600 + 21 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126002147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1423234 + ... + 1424726.

It is an arithmetic number, because the mean of its divisors is an integer number (46632222).

Almost surely, 22126002140 is an apocalyptic number.

2126002140 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 2126002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357519984).

2126002140 is an abundant number, since it is smaller than the sum of its proper divisors (4589037828).

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

2126002140 is a wasteful number, since it uses less digits than its factorization.

2126002140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2126002140 is about 46108.5907396875. The cubic root of 2126002140 is about 1285.8428642839.

Adding to 2126002140 its reverse (412006212), we get a palindrome (2538008352).

The spelling of 2126002140 in words is "two billion, one hundred twenty-six million, two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 293 324 405 486 540 586 810 879 972 1172 1215 1465 1493 1620 1758 2430 2637 2930 2986 3516 4395 4479 4860 5274 5860 5972 7465 7911 8790 8958 10548 13185 13437 14930 15822 17580 17916 22395 23733 26370 26874 29860 31644 39555 40311 44790 47466 52740 53748 67185 71199 79110 80622 89580 94932 118665 120933 134370 142398 158220 161244 201555 237330 241866 268740 284796 355995 362799 403110 437449 474660 483732 604665 711990 725598 806220 874898 1209330 1312347 1423980 1451196 1749796 1813995 2187245 2418660 2624694 3627990 3937041 4374490 5249388 6561735 7255980 7874082 8748980 11811123 13123470 15748164 19685205 23622246 26246940 35433369 39370410 47244492 59055615 70866738 78740820 106300107 118111230 141733476 177166845 212600214 236222460 354333690 425200428 531500535 708667380 1063001070 2126002140