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1229126140 = 2251129474099
BaseRepresentation
bin100100101000010…
…1111100111111100
310011122211002002101
41021100233213330
510004124014030
6321544234444
742313254064
oct11120574774
93148732071
101229126140
1158089a730
122a376ba24
13167851798
14b93523a4
1572d907ca
hex4942f9fc

1229126140 has 96 divisors (see below), whose sum is σ = 2975616000. Its totient is φ = 422257920.

The previous prime is 1229126083. The next prime is 1229126159. The reversal of 1229126140 is 416219221.

It is a junction number, because it is equal to n+sod(n) for n = 1229126099 and 1229126108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297811 + ... + 301909.

It is an arithmetic number, because the mean of its divisors is an integer number (30996000).

Almost surely, 21229126140 is an apocalyptic number.

1229126140 is a gapful number since it is divisible by the number (10) 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 1229126140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487808000).

1229126140 is an abundant number, since it is smaller than the sum of its proper divisors (1746489860).

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

1229126140 is a wasteful number, since it uses less digits than its factorization.

1229126140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1229126140 is about 35058.8953049009. The cubic root of 1229126140 is about 1071.1874725401.

The spelling of 1229126140 in words is "one billion, two hundred twenty-nine million, one hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 47 55 58 94 110 116 145 188 220 235 290 319 470 517 580 638 940 1034 1276 1363 1595 2068 2585 2726 3190 4099 5170 5452 6380 6815 8198 10340 13630 14993 16396 20495 27260 29986 40990 45089 59972 74965 81980 90178 118871 149930 180356 192653 225445 237742 299860 385306 450890 475484 594355 770612 901780 963265 1188710 1307581 1926530 2119183 2377420 2615162 3853060 4238366 5230324 5586937 6537905 8476732 10595915 11173874 13075810 21191830 22347748 26151620 27934685 42383660 55869370 61456307 111738740 122912614 245825228 307281535 614563070 1229126140