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104027472 = 2432898117
BaseRepresentation
bin1100011001101…
…01010101010000
321020202010212100
412030311111100
5203112334342
614153400400
72402135043
oct614652520
9236663770
10104027472
11537a241a
122aa09100
1318723a23
14db5cc5a
1591ece4c
hex6335550

104027472 has 60 divisors (see below), whose sum is σ = 294439860. Its totient is φ = 34281984.

The previous prime is 104027467. The next prime is 104027491. The reversal of 104027472 is 274720401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59351616 + 44675856 = 7704^2 + 6684^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8758 + ... + 16874.

It is an arithmetic number, because the mean of its divisors is an integer number (4907331).

Almost surely, 2104027472 is an apocalyptic number.

104027472 is a gapful number since it is divisible by the number (12) 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 104027472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147219930).

104027472 is an abundant number, since it is smaller than the sum of its proper divisors (190412388).

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

104027472 is a wasteful number, since it uses less digits than its factorization.

104027472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8220 (or 8211 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 104027472 is about 10199.3858638645. The cubic root of 104027472 is about 470.3083415055.

Adding to 104027472 its reverse (274720401), we get a palindrome (378747873).

The spelling of 104027472 in words is "one hundred four million, twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 8117 12816 16234 24351 32468 48702 64936 73053 97404 129872 146106 194808 292212 389616 584424 722413 1168848 1444826 2167239 2889652 4334478 5779304 6501717 8668956 11558608 13003434 17337912 26006868 34675824 52013736 104027472