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2009192920 = 235718313919
BaseRepresentation
bin111011111000001…
…1101100111011000
312012000122120112121
41313300131213120
513103323133140
6531211551024
7100534600210
oct16760354730
95160576477
102009192920
11941156419
12480a5b474
13260345767
14150bad240
15bb5cb64a
hex77c1d9d8

2009192920 has 64 divisors (see below), whose sum is σ = 5170636800. Its totient is φ = 688314240.

The previous prime is 2009192917. The next prime is 2009192921. The reversal of 2009192920 is 292919002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009192921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510721 + ... + 514639.

It is an arithmetic number, because the mean of its divisors is an integer number (80791200).

Almost surely, 22009192920 is an apocalyptic number.

2009192920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2009192920 is an abundant number, since it is smaller than the sum of its proper divisors (3161443880).

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

2009192920 is a wasteful number, since it uses less digits than its factorization.

2009192920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 2009192920 is about 44824.0216848065. The cubic root of 2009192920 is about 1261.8484920039.

The spelling of 2009192920 in words is "two billion, nine million, one hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1831 3662 3919 7324 7838 9155 12817 14648 15676 18310 19595 25634 27433 31352 36620 39190 51268 54866 64085 73240 78380 102536 109732 128170 137165 156760 219464 256340 274330 512680 548660 1097320 7175689 14351378 28702756 35878445 50229823 57405512 71756890 100459646 143513780 200919292 251149115 287027560 401838584 502298230 1004596460 2009192920