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20455470 = 2335779137
BaseRepresentation
bin100111000001…
…0000000101110
31102111020122000
41032002000232
520214033340
62010233130
7335603640
oct116020056
942436560
1020455470
1110601552
126a257a6
134312839
142a06890
151be0d30
hex138202e

20455470 has 128 divisors (see below), whose sum is σ = 63590400. Its totient is φ = 4582656.

The previous prime is 20455459. The next prime is 20455483. The reversal of 20455470 is 7455402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149242 + ... + 149378.

It is an arithmetic number, because the mean of its divisors is an integer number (496800).

Almost surely, 220455470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20455470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31795200).

20455470 is an abundant number, since it is smaller than the sum of its proper divisors (43134930).

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

20455470 is a wasteful number, since it uses less digits than its factorization.

20455470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 20455470 is about 4522.7723798573. The cubic root of 20455470 is about 273.4868742078.

The spelling of 20455470 in words is "twenty million, four hundred fifty-five thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 79 90 105 126 135 137 158 189 210 237 270 274 315 378 395 411 474 553 630 685 711 790 822 945 959 1106 1185 1233 1370 1422 1659 1890 1918 2055 2133 2370 2466 2765 2877 3318 3555 3699 4110 4266 4795 4977 5530 5754 6165 7110 7398 8295 8631 9590 9954 10665 10823 12330 14385 14931 16590 17262 18495 21330 21646 24885 25893 28770 29862 32469 36990 43155 49770 51786 54115 64938 74655 75761 86310 97407 108230 129465 149310 151522 162345 194814 227283 258930 292221 324690 378805 454566 487035 584442 681849 757610 974070 1136415 1363698 1461105 2045547 2272830 2922210 3409245 4091094 6818490 10227735 20455470