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104490120 = 23357196547
BaseRepresentation
bin1100011101001…
…10010010001000
321021121122111110
412032212102020
5203222140440
614211330320
72406102630
oct616462210
9237548443
10104490120
1153a88a79
122abb09a0
1318856497
14dc3d6c0
159290080
hex63a6488

104490120 has 128 divisors (see below), whose sum is σ = 377164800. Its totient is φ = 22622976.

The previous prime is 104490059. The next prime is 104490137. The reversal of 104490120 is 21094401.

It is a super-2 number, since 2×1044901202 = 21836370355228800, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 12687 + ... + 19233.

It is an arithmetic number, because the mean of its divisors is an integer number (2946600).

Almost surely, 2104490120 is an apocalyptic number.

104490120 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 104490120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188582400).

104490120 is an abundant number, since it is smaller than the sum of its proper divisors (272674680).

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

104490120 is a wasteful number, since it uses less digits than its factorization.

104490120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6587 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 104490120 is about 10222.0408921115. The cubic root of 104490120 is about 471.0045212128.

The spelling of 104490120 in words is "one hundred four million, four hundred ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 6547 7980 13094 15960 19641 26188 32735 39282 45829 52376 65470 78564 91658 98205 124393 130940 137487 157128 183316 196410 229145 248786 261880 274974 366632 373179 392820 458290 497572 549948 621965 687435 746358 785640 870751 916580 995144 1099896 1243930 1374870 1492716 1741502 1833160 1865895 2487860 2612253 2749740 2985432 3483004 3731790 4353755 4975720 5224506 5499480 6966008 7463580 8707510 10449012 13061265 14927160 17415020 20898024 26122530 34830040 52245060 104490120