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2007313620 = 2235132573479
BaseRepresentation
bin111011110100101…
…0010110011010100
312011220010002121220
41313221102303110
513102333013440
6531103410340
7100512612204
oct16751226324
95156102556
102007313620
11940092484
124802b39b0
1325cb38250
14150840404
15bb3598d0
hex77a52cd4

2007313620 has 48 divisors (see below), whose sum is σ = 6052824960. Its totient is φ = 494107776.

The previous prime is 2007313601. The next prime is 2007313621. The reversal of 2007313620 is 263137002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007313621) 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, 1285960 + ... + 1287519.

It is an arithmetic number, because the mean of its divisors is an integer number (126100520).

Almost surely, 22007313620 is an apocalyptic number.

2007313620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007313620 is an abundant number, since it is smaller than the sum of its proper divisors (4045511340).

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

2007313620 is a wasteful number, since it uses less digits than its factorization.

2007313620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573504 (or 2573502 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 2007313620 is about 44803.0536905689. The cubic root of 2007313620 is about 1261.4549456545.

The spelling of 2007313620 in words is "two billion, seven million, three hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2573479 5146958 7720437 10293916 12867395 15440874 25734790 30881748 33455227 38602185 51469580 66910454 77204370 100365681 133820908 154408740 167276135 200731362 334552270 401462724 501828405 669104540 1003656810 2007313620