Search a number
-
+
20540520 = 233357111319
BaseRepresentation
bin100111001011…
…0110001101000
31102122120022000
41032112301220
520224244040
62012131000
7336406620
oct116266150
942576260
1020540520
111065a440
126a66a60
134342470
142a29880
151c0b130
hex1396c68

20540520 has 512 divisors, whose sum is σ = 96768000. Its totient is φ = 3732480.

The previous prime is 20540519. The next prime is 20540537. The reversal of 20540520 is 2504502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20540493 and 20540502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1081071 + ... + 1081089.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 220540520 is an apocalyptic number.

20540520 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 20540520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

20540520 is an abundant number, since it is smaller than the sum of its proper divisors (76227480).

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

20540520 is a wasteful number, since it uses less digits than its factorization.

20540520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 20540520 is about 4532.1650455384. The cubic root of 20540520 is about 273.8653857735.

The spelling of 20540520 in words is "twenty million, five hundred forty thousand, five hundred twenty".