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20505450 = 2352759331
BaseRepresentation
bin100111000111…
…0001101101010
31102120210012010
41032032031222
520222133300
62011300350
7336202440
oct116161552
942523163
1020505450
1110636059
126a4a6b6
13432c504
142a1ab90
151c00a50
hex138e36a

20505450 has 96 divisors (see below), whose sum is σ = 59281920. Its totient is φ = 4593600.

The previous prime is 20505449. The next prime is 20505467. The reversal of 20505450 is 5450502.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 61785 + ... + 62115.

It is an arithmetic number, because the mean of its divisors is an integer number (617520).

Almost surely, 220505450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20505450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29640960).

20505450 is an abundant number, since it is smaller than the sum of its proper divisors (38776470).

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

20505450 is a wasteful number, since it uses less digits than its factorization.

20505450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 20505450 is about 4528.2943808900. The cubic root of 20505450 is about 273.7094349934.

Adding to 20505450 its reverse (5450502), we get a palindrome (25955952).

The spelling of 20505450 in words is "twenty million, five hundred five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 59 70 75 105 118 150 175 177 210 295 331 350 354 413 525 590 662 826 885 993 1050 1239 1475 1655 1770 1986 2065 2317 2478 2950 3310 4130 4425 4634 4965 6195 6951 8275 8850 9930 10325 11585 12390 13902 16550 19529 20650 23170 24825 30975 34755 39058 49650 57925 58587 61950 69510 97645 115850 117174 136703 173775 195290 273406 292935 347550 410109 488225 585870 683515 820218 976450 1367030 1464675 2050545 2929350 3417575 4101090 6835150 10252725 20505450