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20561120 = 2551071201
BaseRepresentation
bin100111001101…
…1110011100000
31102200121112222
41032123303200
520230423440
62012410212
7336523646
oct116336340
942617488
1020561120
1110673968
126a76968
13434b958
142a33196
151c122b5
hex139bce0

20561120 has 48 divisors (see below), whose sum is σ = 49070448. Its totient is φ = 8140800.

The previous prime is 20561117. The next prime is 20561147. The reversal of 20561120 is 2116502.

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 7 ways as a sum of consecutive naturals, for example, 16520 + ... + 17720.

It is an arithmetic number, because the mean of its divisors is an integer number (1022301).

Almost surely, 220561120 is an apocalyptic number.

20561120 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 20561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24535224).

20561120 is an abundant number, since it is smaller than the sum of its proper divisors (28509328).

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

20561120 is a wasteful number, since it uses less digits than its factorization.

20561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 20561120 is about 4534.4371205255. The cubic root of 20561120 is about 273.9569079941.

Adding to 20561120 its reverse (2116502), we get a palindrome (22677622).

The spelling of 20561120 in words is "twenty million, five hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1201 1712 2140 2402 3424 4280 4804 6005 8560 9608 12010 17120 19216 24020 38432 48040 96080 128507 192160 257014 514028 642535 1028056 1285070 2056112 2570140 4112224 5140280 10280560 20561120