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2004675040 = 25514538623
BaseRepresentation
bin111011101111100…
…1110100111100000
312011201011001011201
41313133032213200
513101144100130
6530531050544
7100451312434
oct16737164740
95151131151
102004675040
11939650035
1247b440a54
1325c423264
141503549c4
15baed7bca
hex777ce9e0

2004675040 has 48 divisors (see below), whose sum is σ = 4739853888. Its totient is φ = 801225216.

The previous prime is 2004675019. The next prime is 2004675073. The reversal of 2004675040 is 405764002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228169 + ... + 236791.

It is an arithmetic number, because the mean of its divisors is an integer number (98746956).

Almost surely, 22004675040 is an apocalyptic number.

2004675040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004675040 is an abundant number, since it is smaller than the sum of its proper divisors (2735178848).

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

2004675040 is a wasteful number, since it uses less digits than its factorization.

2004675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091 (or 10083 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2004675040 is about 44773.5975771436. The cubic root of 2004675040 is about 1260.9019828588.

The spelling of 2004675040 in words is "two billion, four million, six hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1453 2906 5812 7265 8623 11624 14530 17246 23248 29060 34492 43115 46496 58120 68984 86230 116240 137968 172460 232480 275936 344920 689840 1379680 12529219 25058438 50116876 62646095 100233752 125292190 200467504 250584380 400935008 501168760 1002337520 2004675040