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104331420 = 223251075417
BaseRepresentation
bin1100011011111…
…11100010011100
321021022120210200
412031333202130
5203202101140
614204103500
72404542144
oct615774234
9237276720
10104331420
115398a816
122ab34b90
13187cc18b
14dbdb924
15925d030
hex637f89c

104331420 has 72 divisors (see below), whose sum is σ = 319488624. Its totient is φ = 27556608.

The previous prime is 104331349. The next prime is 104331467. The reversal of 104331420 is 24133401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104331393 and 104331402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16552 + ... + 21968.

It is an arithmetic number, because the mean of its divisors is an integer number (4437342).

Almost surely, 2104331420 is an apocalyptic number.

104331420 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 104331420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159744312).

104331420 is an abundant number, since it is smaller than the sum of its proper divisors (215157204).

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

104331420 is a wasteful number, since it uses less digits than its factorization.

104331420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 104331420 is about 10214.2753046900. The cubic root of 104331420 is about 470.7659458904.

Adding to 104331420 its reverse (24133401), we get a palindrome (128464821).

The spelling of 104331420 in words is "one hundred four million, three hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 5417 6420 9630 10834 16251 19260 21668 27085 32502 48753 54170 65004 81255 97506 108340 162510 195012 243765 325020 487530 579619 975060 1159238 1738857 2318476 2898095 3477714 5216571 5796190 6955428 8694285 10433142 11592380 17388570 20866284 26082855 34777140 52165710 104331420