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128331104 = 25111931889
BaseRepresentation
bin1111010011000…
…10110101100000
322221110220011212
413221202311200
5230323043404
620422325252
73115540106
oct751426540
9287426155
10128331104
1166492070
1236b89828
1320782c85
1413087c76
15b3ee06e
hex7a62d60

128331104 has 48 divisors (see below), whose sum is σ = 277194960. Its totient is φ = 57999360.

The previous prime is 128331089. The next prime is 128331109. The reversal of 128331104 is 401133821.

It is a self number, because there is not a number n which added to its sum of digits gives 128331104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128331109) 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, 66992 + ... + 68880.

It is an arithmetic number, because the mean of its divisors is an integer number (5774895).

Almost surely, 2128331104 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 128331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138597480).

128331104 is an abundant number, since it is smaller than the sum of its proper divisors (148863856).

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

128331104 is a wasteful number, since it uses less digits than its factorization.

128331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 128331104 is about 11328.3319160413. The cubic root of 128331104 is about 504.4025925776.

Adding to 128331104 its reverse (401133821), we get a palindrome (529464925).

The spelling of 128331104 in words is "one hundred twenty-eight million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 193 352 386 772 1544 1889 2123 3088 3778 4246 6176 7556 8492 15112 16984 20779 30224 33968 41558 60448 67936 83116 166232 332464 364577 664928 729154 1458308 2916616 4010347 5833232 8020694 11666464 16041388 32082776 64165552 128331104