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2003143290 = 235472167181
BaseRepresentation
bin111011101100101…
…1000101001111010
312011121021020000020
41313121120221322
513100301041130
6530434151310
7100432302621
oct16731305172
95147236006
102003143290
119387a4225
1247aa22536
1325c007cb5
141500766b8
15bacd3e10
hex77658a7a

2003143290 has 96 divisors (see below), whose sum is σ = 4968722304. Its totient is φ = 516804480.

The previous prime is 2003143271. The next prime is 2003143313. The reversal of 2003143290 is 923413002.

It is a super-3 number, since 3×20031432903 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2003143290.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11067000 + ... + 11067180.

It is an arithmetic number, because the mean of its divisors is an integer number (51757524).

Almost surely, 22003143290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003143290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484361152).

2003143290 is an abundant number, since it is smaller than the sum of its proper divisors (2965579014).

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

2003143290 is a wasteful number, since it uses less digits than its factorization.

2003143290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2003143290 is about 44756.4888033009. The cubic root of 2003143290 is about 1260.5807539481.

Adding to 2003143290 its reverse (923413002), we get a palindrome (2926556292).

The spelling of 2003143290 in words is "two billion, three million, one hundred forty-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 167 181 235 282 334 362 470 501 543 705 835 905 1002 1086 1410 1670 1810 2209 2505 2715 4418 5010 5430 6627 7849 8507 11045 13254 15698 17014 22090 23547 25521 30227 33135 39245 42535 47094 51042 60454 66270 78490 85070 90681 117735 127605 151135 181362 235470 255210 302270 368903 399829 453405 737806 799658 906810 1106709 1199487 1420669 1844515 1999145 2213418 2398974 2841338 3689030 3998290 4262007 5533545 5997435 7103345 8524014 11067090 11994870 14206690 21310035 42620070 66771443 133542886 200314329 333857215 400628658 667714430 1001571645 2003143290