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2003004240 = 243531269221
BaseRepresentation
bin111011101100011…
…0110101101010000
312011121000011021020
41313120312231100
513100232113430
6530431155440
7100431153336
oct16730665520
95147004236
102003004240
11938709806
1247a975b80
1325bc89913
1415003bb56
15baca7b10
hex77636b50

2003004240 has 80 divisors (see below), whose sum is σ = 6409637376. Its totient is φ = 516902400.

The previous prime is 2003004193. The next prime is 2003004247. The reversal of 2003004240 is 424003002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003004247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 127171 + ... + 142050.

Almost surely, 22003004240 is an apocalyptic number.

2003004240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003004240 is an abundant number, since it is smaller than the sum of its proper divisors (4406633136).

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

2003004240 is a wasteful number, since it uses less digits than its factorization.

2003004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269268 (or 269262 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2003004240 is about 44754.9353703030. The cubic root of 2003004240 is about 1260.5515851561.

Adding to 2003004240 its reverse (424003002), we get a palindrome (2427007242).

The spelling of 2003004240 in words is "two billion, three million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 269221 538442 807663 1076884 1346105 1615326 2153768 2692210 3230652 4038315 4307536 5384420 6461304 8076630 8345851 10768840 12922608 16153260 16691702 21537680 25037553 32306520 33383404 41729255 50075106 64613040 66766808 83458510 100150212 125187765 133533616 166917020 200300424 250375530 333834040 400600848 500751060 667668080 1001502120 2003004240