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20549280 = 2535311381
BaseRepresentation
bin100111001100…
…0111010100000
31102200000022110
41032120322200
520230034110
62012235320
7336444303
oct116307240
942600273
1020549280
1110665a84
126a6bb40
13434644b
142a2cb3a
151c0da20
hex1398ea0

20549280 has 96 divisors (see below), whose sum is σ = 66866688. Its totient is φ = 5299200.

The previous prime is 20549251. The next prime is 20549297. The reversal of 20549280 is 8294502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14190 + ... + 15570.

It is an arithmetic number, because the mean of its divisors is an integer number (696528).

Almost surely, 220549280 is an apocalyptic number.

20549280 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 20549280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33433344).

20549280 is an abundant number, since it is smaller than the sum of its proper divisors (46317408).

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

20549280 is a wasteful number, since it uses less digits than its factorization.

20549280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 20549280 is about 4533.1313680501. The cubic root of 20549280 is about 273.9043124059.

The spelling of 20549280 in words is "twenty million, five hundred forty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1381 1488 1860 2480 2762 2976 3720 4143 4960 5524 6905 7440 8286 11048 13810 14880 16572 20715 22096 27620 33144 41430 42811 44192 55240 66288 82860 85622 110480 128433 132576 165720 171244 214055 220960 256866 331440 342488 428110 513732 642165 662880 684976 856220 1027464 1284330 1369952 1712440 2054928 2568660 3424880 4109856 5137320 6849760 10274640 20549280