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2808000840 = 2335171376471
BaseRepresentation
bin1010011101011110…
…1011000101001000
321020200202020000010
42213113223011020
521222322011330
61142345111520
7126404420241
oct24727530510
97220666003
102808000840
111211052657
126644885a0
1335999bb78
141c8d07cc8
151167ba3b0
hexa75eb148

2808000840 has 64 divisors (see below), whose sum is σ = 8919538560. Its totient is φ = 704752640.

The previous prime is 2808000829. The next prime is 2808000841. The reversal of 2808000840 is 480008082.

2808000840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2808000798 and 2808000807.

It is not an unprimeable number, because it can be changed into a prime (2808000841) 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, 686196 + ... + 690275.

It is an arithmetic number, because the mean of its divisors is an integer number (139367790).

Almost surely, 22808000840 is an apocalyptic number.

2808000840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2808000840 is an abundant number, since it is smaller than the sum of its proper divisors (6111537720).

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

2808000840 is a wasteful number, since it uses less digits than its factorization.

2808000840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376502 (or 1376498 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2808000840 is about 52990.5731239057. The cubic root of 2808000840 is about 1410.8009533106.

The spelling of 2808000840 in words is "two billion, eight hundred eight million, eight hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 1376471 2752942 4129413 5505884 6882355 8258826 11011768 13764710 16517652 20647065 23400007 27529420 33035304 41294130 46800014 55058840 70200021 82588260 93600028 117000035 140400042 165176520 187200056 234000070 280800084 351000105 468000140 561600168 702000210 936000280 1404000420 2808000840