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10473120 = 2532571039
BaseRepresentation
bin100111111100…
…111010100000
3201201002102100
4213330322200
510140114440
61012250400
7155006610
oct47747240
921632370
1010473120
115a03679
123610a00
132229018
141568a40
15dbd230
hex9fcea0

10473120 has 144 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 2391552.

The previous prime is 10473101. The next prime is 10473121. The reversal of 10473120 is 2137401.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 10473093 and 10473102.

It is not an unprimeable number, because it can be changed into a prime (10473121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9561 + ... + 10599.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 210473120 is an apocalyptic number.

10473120 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 10473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

10473120 is an abundant number, since it is smaller than the sum of its proper divisors (30411360).

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

10473120 is a wasteful number, since it uses less digits than its factorization.

10473120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10473120 is about 3236.2200172423. The cubic root of 10473120 is about 218.7889378305.

The spelling of 10473120 in words is "ten million, four hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1039 1120 1260 1440 1680 2016 2078 2520 3117 3360 4156 5040 5195 6234 7273 8312 9351 10080 10390 12468 14546 15585 16624 18702 20780 21819 24936 29092 31170 33248 36365 37404 41560 43638 46755 49872 58184 62340 65457 72730 74808 83120 87276 93510 99744 109095 116368 124680 130914 145460 149616 166240 174552 187020 218190 232736 249360 261828 290920 299232 327285 349104 374040 436380 498720 523656 581840 654570 698208 748080 872760 1047312 1163680 1309140 1496160 1745520 2094624 2618280 3491040 5236560 10473120