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104303024 = 24717291889
BaseRepresentation
bin1100011011110…
…00100110110000
321021021010211222
412031320212300
5203200144044
614203324212
72404363310
oct615704660
9237233758
10104303024
1153970451
122ab20668
13187bc287
14dbd1440
1592548ee
hex63789b0

104303024 has 80 divisors (see below), whose sum is σ = 253108800. Its totient is φ = 40599552.

The previous prime is 104303009. The next prime is 104303051. The reversal of 104303024 is 420303401.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 104302993 and 104303011.

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 15 ways as a sum of consecutive naturals, for example, 54272 + ... + 56160.

It is an arithmetic number, because the mean of its divisors is an integer number (3163860).

Almost surely, 2104303024 is an apocalyptic number.

104303024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104303024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126554400).

104303024 is an abundant number, since it is smaller than the sum of its proper divisors (148805776).

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

104303024 is a wasteful number, since it uses less digits than its factorization.

104303024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 104303024 is about 10212.8851946940. The cubic root of 104303024 is about 470.7232323826.

Adding to 104303024 its reverse (420303401), we get a palindrome (524606425).

It can be divided in two parts, 10 and 4303024, that added together give a palindrome (4303034).

The spelling of 104303024 in words is "one hundred four million, three hundred three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 272 406 464 476 493 812 952 986 1624 1889 1904 1972 3248 3451 3778 3944 6902 7556 7888 13223 13804 15112 26446 27608 30224 32113 52892 54781 55216 64226 105784 109562 128452 211568 219124 224791 256904 383467 438248 449582 513808 766934 876496 899164 931277 1533868 1798328 1862554 3067736 3596656 3725108 6135472 6518939 7450216 13037878 14900432 26075756 52151512 104303024