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104016330 = 232511293623
BaseRepresentation
bin1100011001100…
…10100111001010
321020201120120200
412030302213022
5203112010310
614153233030
72402060415
oct614624712
9236646520
10104016330
1153795010
122aa02776
131871b932
14db58b7c
1591e99c0
hex63329ca

104016330 has 96 divisors (see below), whose sum is σ = 305285760. Its totient is φ = 24339840.

The previous prime is 104016299. The next prime is 104016337. The reversal of 104016330 is 33610401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (104016337) 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 47 ways as a sum of consecutive naturals, for example, 26899 + ... + 30521.

It is an arithmetic number, because the mean of its divisors is an integer number (3180060).

Almost surely, 2104016330 is an apocalyptic number.

104016330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104016330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152642880).

104016330 is an abundant number, since it is smaller than the sum of its proper divisors (201269430).

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

104016330 is a wasteful number, since it uses less digits than its factorization.

104016330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 104016330 is about 10198.8396398806. The cubic root of 104016330 is about 470.2915499069.

Adding to 104016330 its reverse (33610401), we get a palindrome (137626731).

The spelling of 104016330 in words is "one hundred four million, sixteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 110 145 165 174 198 261 290 319 330 435 495 522 638 870 957 990 1305 1595 1914 2610 2871 3190 3623 4785 5742 7246 9570 10869 14355 18115 21738 28710 32607 36230 39853 54345 65214 79706 105067 108690 119559 163035 199265 210134 239118 315201 326070 358677 398530 525335 597795 630402 717354 945603 1050670 1155737 1195590 1576005 1793385 1891206 2311474 3152010 3467211 3586770 4728015 5778685 6934422 9456030 10401633 11557370 17336055 20803266 34672110 52008165 104016330