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104352500 = 225476789
BaseRepresentation
bin1100011100001…
…00101011110100
321021100122201102
412032010223310
5203203240000
614204345232
72404660460
oct616045364
9237318642
10104352500
11539a463a
122ab45218
1318808955
14dc054a0
1592643d5
hex6384af4

104352500 has 120 divisors (see below), whose sum is σ = 267664320. Its totient is φ = 34848000.

The previous prime is 104352491. The next prime is 104352509. The reversal of 104352500 is 5253401.

It is an interprime number because it is at equal distance from previous prime (104352491) and next prime (104352509).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104352509) 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 39 ways as a sum of consecutive naturals, for example, 1172456 + ... + 1172544.

It is an arithmetic number, because the mean of its divisors is an integer number (2230536).

Almost surely, 2104352500 is an apocalyptic number.

104352500 is a gapful number since it is divisible by the number (10) 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 104352500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133832160).

104352500 is an abundant number, since it is smaller than the sum of its proper divisors (163311820).

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

104352500 is an equidigital number, since it uses as much as digits as its factorization.

104352500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 104352500 is about 10215.3071417359. The cubic root of 104352500 is about 470.7976495959.

Subtracting from 104352500 its reverse (5253401), we obtain a palindrome (99099099).

The spelling of 104352500 in words is "one hundred four million, three hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 89 100 125 134 140 175 178 250 268 335 350 356 445 469 500 623 625 670 700 875 890 938 1246 1250 1340 1675 1750 1780 1876 2225 2345 2492 2500 3115 3350 3500 4375 4450 4690 5963 6230 6700 8375 8750 8900 9380 11125 11725 11926 12460 15575 16750 17500 22250 23450 23852 29815 31150 33500 41741 41875 44500 46900 55625 58625 59630 62300 77875 83482 83750 111250 117250 119260 149075 155750 166964 167500 208705 222500 234500 293125 298150 311500 389375 417410 586250 596300 745375 778750 834820 1043525 1172500 1490750 1557500 2087050 2981500 3726875 4174100 5217625 7453750 10435250 14907500 20870500 26088125 52176250 104352500