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104213424 = 2437437213
BaseRepresentation
bin1100011011000…
…10101110110000
321021002120221110
412031202232300
5203134312144
614201353320
72403541140
oct615425660
9237076843
10104213424
115390a0a7
122aa98840
131878a563
14dbaa920
1592380b9
hex6362bb0

104213424 has 80 divisors (see below), whose sum is σ = 314876672. Its totient is φ = 29078784.

The previous prime is 104213407. The next prime is 104213441. The reversal of 104213424 is 424312401.

It is an interprime number because it is at equal distance from previous prime (104213407) and next prime (104213441).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 104213424.

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, 10842 + ... + 18054.

Almost surely, 2104213424 is an apocalyptic number.

104213424 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 104213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157438336).

104213424 is an abundant number, since it is smaller than the sum of its proper divisors (210663248).

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

104213424 is a wasteful number, since it uses less digits than its factorization.

104213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7274 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 104213424 is about 10208.4976367730. The cubic root of 104213424 is about 470.5884044460.

Adding to 104213424 its reverse (424312401), we get a palindrome (528525825).

The spelling of 104213424 in words is "one hundred four million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7213 7224 14426 14448 21639 28852 43278 50491 57704 86556 100982 115408 151473 173112 201964 302946 310159 346224 403928 605892 620318 807856 930477 1211784 1240636 1860954 2171113 2423568 2481272 3721908 4342226 4962544 6513339 7443816 8684452 13026678 14887632 17368904 26053356 34737808 52106712 104213424