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20545120 = 255731759
BaseRepresentation
bin100111001011…
…1111001100000
31102122210121101
41032113321200
520224420440
62012204144
7336426211
oct116277140
942583541
1020545120
1110662942
126a69654
13434459b
142a2b408
151c0c69a
hex1397e60

20545120 has 48 divisors (see below), whose sum is σ = 49230720. Its totient is φ = 8100864.

The previous prime is 20545097. The next prime is 20545127. The reversal of 20545120 is 2154502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20545127) 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 7 ways as a sum of consecutive naturals, for example, 10801 + ... + 12559.

It is an arithmetic number, because the mean of its divisors is an integer number (1025640).

Almost surely, 220545120 is an apocalyptic number.

20545120 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 20545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24615360).

20545120 is an abundant number, since it is smaller than the sum of its proper divisors (28685600).

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

20545120 is a wasteful number, since it uses less digits than its factorization.

20545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 20545120 is about 4532.6725008542. The cubic root of 20545120 is about 273.8858280788.

Adding to 20545120 its reverse (2154502), we get a palindrome (22699622).

The spelling of 20545120 in words is "twenty million, five hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 1759 2336 2920 3518 5840 7036 8795 11680 14072 17590 28144 35180 56288 70360 128407 140720 256814 281440 513628 642035 1027256 1284070 2054512 2568140 4109024 5136280 10272560 20545120