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104421120 = 283571383
BaseRepresentation
bin1100011100101…
…01011100000000
321021111010211220
412032111130000
5203212433440
614210035040
72405364516
oct616253400
9237433756
10104421120
1153a41151
122ab78a80
1318830c5b
14dc224b6
1592798d0
hex6395700

104421120 has 144 divisors (see below), whose sum is σ = 339075072. Its totient is φ = 27381760.

The previous prime is 104421103. The next prime is 104421151. The reversal of 104421120 is 21124401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104421120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272449 + ... + 272831.

It is an arithmetic number, because the mean of its divisors is an integer number (2354688).

Almost surely, 2104421120 is an apocalyptic number.

104421120 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 104421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169537536).

104421120 is an abundant number, since it is smaller than the sum of its proper divisors (234653952).

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

104421120 is an equidigital number, since it uses as much as digits as its factorization.

104421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 104421120 is about 10218.6652748781. The cubic root of 104421120 is about 470.9008225147.

Adding to 104421120 its reverse (21124401), we get a palindrome (125545521).

The spelling of 104421120 in words is "one hundred four million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 256 284 320 355 383 384 426 480 568 640 710 766 768 852 960 1065 1136 1149 1280 1420 1532 1704 1915 1920 2130 2272 2298 2840 3064 3408 3830 3840 4260 4544 4596 5680 5745 6128 6816 7660 8520 9088 9192 11360 11490 12256 13632 15320 17040 18176 18384 22720 22980 24512 27193 27264 30640 34080 36768 45440 45960 49024 54386 54528 61280 68160 73536 81579 90880 91920 98048 108772 122560 135965 136320 147072 163158 183840 217544 245120 271930 272640 294144 326316 367680 407895 435088 490240 543860 652632 735360 815790 870176 1087720 1305264 1470720 1631580 1740352 2175440 2610528 3263160 3480704 4350880 5221056 6526320 6961408 8701760 10442112 13052640 17403520 20884224 26105280 34807040 52210560 104421120