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20445900 = 223521719211
BaseRepresentation
bin100110111111…
…1101011001100
31102110202111120
41031333223030
520213232100
62010120540
7335534016
oct115775314
942422446
1020445900
11105a5342
126a20150
13430b387
142a031b6
151bdd0a0
hex137facc

20445900 has 144 divisors (see below), whose sum is σ = 66245760. Its totient is φ = 4838400.

The previous prime is 20445889. The next prime is 20445923. The reversal of 20445900 is 954402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96795 + ... + 97005.

It is an arithmetic number, because the mean of its divisors is an integer number (460040).

Almost surely, 220445900 is an apocalyptic number.

20445900 is a gapful number since it is divisible by the number (20) 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 20445900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33122880).

20445900 is an abundant number, since it is smaller than the sum of its proper divisors (45799860).

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

20445900 is a wasteful number, since it uses less digits than its factorization.

20445900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20445900 is about 4521.7142766875. The cubic root of 20445900 is about 273.4442176853. Note that the first 3 decimals are identical.

It can be divided in two parts, 204 and 45900, that multiplied together give a square (9363600 = 30602).

The spelling of 20445900 in words is "twenty million, four hundred forty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 25 30 34 38 50 51 57 60 68 75 76 85 95 100 102 114 150 170 190 204 211 228 255 285 300 323 340 380 422 425 475 510 570 633 646 844 850 950 969 1020 1055 1140 1266 1275 1292 1425 1615 1700 1900 1938 2110 2532 2550 2850 3165 3230 3587 3876 4009 4220 4845 5100 5275 5700 6330 6460 7174 8018 8075 9690 10550 10761 12027 12660 14348 15825 16036 16150 17935 19380 20045 21100 21522 24054 24225 31650 32300 35870 40090 43044 48108 48450 53805 60135 63300 68153 71740 80180 89675 96900 100225 107610 120270 136306 179350 200450 204459 215220 240540 269025 272612 300675 340765 358700 400900 408918 538050 601350 681530 817836 1022295 1076100 1202700 1363060 1703825 2044590 3407650 4089180 5111475 6815300 10222950 20445900