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20541888 = 2632191877
BaseRepresentation
bin100111001011…
…1000111000000
31102122122011200
41032113013000
520224320023
62012141200
7336413613
oct116270700
942578150
1020541888
1110660474
126a67800
134342c83
142a2a17a
151c0b743
hex13971c0

20541888 has 84 divisors (see below), whose sum is σ = 62011560. Its totient is φ = 6483456.

The previous prime is 20541887. The next prime is 20541893. The reversal of 20541888 is 88814502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20541881) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10006 + ... + 11882.

Almost surely, 220541888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20541888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31005780).

20541888 is an abundant number, since it is smaller than the sum of its proper divisors (41469672).

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

20541888 is a wasteful number, since it uses less digits than its factorization.

20541888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 20541888 is about 4532.3159642726. The cubic root of 20541888 is about 273.8714654561.

The spelling of 20541888 in words is "twenty million, five hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 1877 2736 3648 3754 5472 5631 7508 10944 11262 15016 16893 22524 30032 33786 35663 45048 60064 67572 71326 90096 106989 120128 135144 142652 180192 213978 270288 285304 320967 360384 427956 540576 570608 641934 855912 1081152 1141216 1283868 1711824 2282432 2567736 3423648 5135472 6847296 10270944 20541888