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20540544 = 273149359
BaseRepresentation
bin100111001011…
…0110010000000
31102122120022220
41032112302000
520224244134
62012131040
7336406653
oct116266200
942576286
1020540544
111065a462
126a66a80
13434248b
142a2989a
151c0b149
hex1396c80

20540544 has 64 divisors (see below), whose sum is σ = 55080000. Its totient is φ = 6781952.

The previous prime is 20540543. The next prime is 20540557. The reversal of 20540544 is 44504502.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20540543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57037 + ... + 57395.

It is an arithmetic number, because the mean of its divisors is an integer number (860625).

Almost surely, 220540544 is an apocalyptic number.

20540544 is a gapful number since it is divisible by the number (24) 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 20540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27540000).

20540544 is an abundant number, since it is smaller than the sum of its proper divisors (34539456).

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

20540544 is a wasteful number, since it uses less digits than its factorization.

20540544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 20540544 is about 4532.1676932788. The cubic root of 20540544 is about 273.8654924369.

The spelling of 20540544 in words is "twenty million, five hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 298 359 384 447 596 718 894 1077 1192 1436 1788 2154 2384 2872 3576 4308 4768 5744 7152 8616 9536 11488 14304 17232 19072 22976 28608 34464 45952 53491 57216 68928 106982 137856 160473 213964 320946 427928 641892 855856 1283784 1711712 2567568 3423424 5135136 6846848 10270272 20540544