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1988210304 = 27322959513
BaseRepresentation
bin111011010000001…
…1010111010000000
312010120011112210200
41312200122322000
513032440212204
6525142125200
7100161336333
oct16640327200
95116145720
101988210304
11930324913
12475a20800
13258baa002
1414c0aa61a
15b9834539
hex7681ae80

1988210304 has 96 divisors (see below), whose sum is σ = 5918667300. Its totient is φ = 639873024.

The previous prime is 1988210297. The next prime is 1988210363. The reversal of 1988210304 is 4030128891.

It can be written as a sum of positive squares in 2 ways, for example, as 1717936704 + 270273600 = 41448^2 + 16440^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3652 + ... + 63164.

Almost surely, 21988210304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1988210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959333650).

1988210304 is an abundant number, since it is smaller than the sum of its proper divisors (3930456996).

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

1988210304 is a wasteful number, since it uses less digits than its factorization.

1988210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59562 (or 59547 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1988210304 is about 44589.3519127605. The cubic root of 1988210304 is about 1257.4404882861.

The spelling of 1988210304 in words is "one billion, nine hundred eighty-eight million, two hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 59513 119026 178539 238052 357078 476104 535617 714156 952208 1071234 1428312 1725877 1904416 2142468 2856624 3451754 3808832 4284936 5177631 5713248 6903508 7617664 8569872 10355262 11426496 13807016 15532893 17139744 20710524 22852992 27614032 31065786 34279488 41421048 55228064 62131572 68558976 82842096 110456128 124263144 165684192 220912256 248526288 331368384 497052576 662736768 994105152 1988210304