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2688180920 = 23589755107
BaseRepresentation
bin1010000000111010…
…0110001010111000
320221100021201222022
42200032212022320
521001133242140
61122425014012
7123421106105
oct24016461270
96840251868
102688180920
11115a454127
12630324308
1333ac08bc9
141b7037aac
1510aeed0b5
hexa03a62b8

2688180920 has 32 divisors (see below), whose sum is σ = 6116374800. Its totient is φ = 1063189248.

The previous prime is 2688180907. The next prime is 2688180923. The reversal of 2688180920 is 290818862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688180923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373994 + ... + 381113.

Almost surely, 22688180920 is an apocalyptic number.

2688180920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2688180920 is an abundant number, since it is smaller than the sum of its proper divisors (3428193880).

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

2688180920 is a wasteful number, since it uses less digits than its factorization.

2688180920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755207 (or 755203 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 2688180920 is about 51847.6703430347. The cubic root of 2688180920 is about 1390.4418518351.

The spelling of 2688180920 in words is "two billion, six hundred eighty-eight million, one hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 755107 1510214 3020428 3775535 6040856 7551070 15102140 30204280 67204523 134409046 268818092 336022615 537636184 672045230 1344090460 2688180920