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2003240640 = 26352398731
BaseRepresentation
bin111011101100111…
…0000011011000000
312011121110011112210
41313121300123000
513100312200030
6530440222120
7100433156502
oct16731603300
95147404483
102003240640
11938860385
1247aa6a940
1325c0403bb
1415009dd72
15bad02bb0
hex776706c0

2003240640 has 112 divisors (see below), whose sum is σ = 6387632640. Its totient is φ = 531901440.

The previous prime is 2003240639. The next prime is 2003240693. The reversal of 2003240640 is 460423002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225075 + ... + 233805.

Almost surely, 22003240640 is an apocalyptic number.

2003240640 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 2003240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193816320).

2003240640 is an abundant number, since it is smaller than the sum of its proper divisors (4384392000).

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

2003240640 is a wasteful number, since it uses less digits than its factorization.

2003240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2003240640 is about 44757.5763418888. The cubic root of 2003240640 is about 1260.6011744458.

Adding to 2003240640 its reverse (460423002), we get a palindrome (2463663642).

The spelling of 2003240640 in words is "two billion, three million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 239 240 320 478 480 717 956 960 1195 1434 1912 2390 2868 3585 3824 4780 5736 7170 7648 8731 9560 11472 14340 15296 17462 19120 22944 26193 28680 34924 38240 43655 45888 52386 57360 69848 76480 87310 104772 114720 130965 139696 174620 209544 229440 261930 279392 349240 419088 523860 558784 698480 838176 1047720 1396960 1676352 2086709 2095440 2793920 4173418 4190880 6260127 8346836 8381760 10433545 12520254 16693672 20867090 25040508 31300635 33387344 41734180 50081016 62601270 66774688 83468360 100162032 125202540 133549376 166936720 200324064 250405080 333873440 400648128 500810160 667746880 1001620320 2003240640