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104001420 = 22354167631
BaseRepresentation
bin1100011001011…
…10111110001100
321020200211010110
412030232332030
5203111021140
614153040020
72401666065
oct614567614
9236624113
10104001420
1153784896
122a9b6010
1318714c03
14db5356c
1591e5380
hex632ef8c

104001420 has 96 divisors (see below), whose sum is σ = 303238656. Its totient is φ = 26611200.

The previous prime is 104001419. The next prime is 104001433. The reversal of 104001420 is 24100401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 104001396 and 104001405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164505 + ... + 165135.

It is an arithmetic number, because the mean of its divisors is an integer number (3158736).

Almost surely, 2104001420 is an apocalyptic number.

104001420 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 104001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151619328).

104001420 is an abundant number, since it is smaller than the sum of its proper divisors (199237236).

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

104001420 is a wasteful number, since it uses less digits than its factorization.

104001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 104001420 is about 10198.1086481759. The cubic root of 104001420 is about 470.2690778519.

Adding to 104001420 its reverse (24100401), we get a palindrome (128101821).

The spelling of 104001420 in words is "one hundred four million, one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 67 82 123 134 164 201 205 246 268 335 402 410 492 615 631 670 804 820 1005 1230 1262 1340 1893 2010 2460 2524 2747 3155 3786 4020 5494 6310 7572 8241 9465 10988 12620 13735 16482 18930 25871 27470 32964 37860 41205 42277 51742 54940 77613 82410 84554 103484 126831 129355 155226 164820 169108 211385 253662 258710 310452 388065 422770 507324 517420 634155 776130 845540 1268310 1552260 1733357 2536620 3466714 5200071 6933428 8666785 10400142 17333570 20800284 26000355 34667140 52000710 104001420