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20405520 = 243454767
BaseRepresentation
bin100110111010…
…1110100010000
31102101201010000
41031311310100
520210434040
62005210000
7335305212
oct115656420
942351100
1020405520
1110577a73
126a00900
1342c5b95
1429d25b2
151bd1130
hex1375d10

20405520 has 200 divisors, whose sum is σ = 73459584. Its totient is φ = 5246208.

The previous prime is 20405513. The next prime is 20405527. The reversal of 20405520 is 2550402.

It is an interprime number because it is at equal distance from previous prime (20405513) and next prime (20405527).

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 = 20405493 and 20405502.

It is not an unprimeable number, because it can be changed into a prime (20405527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 304527 + ... + 304593.

Almost surely, 220405520 is an apocalyptic number.

20405520 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 20405520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36729792).

20405520 is an abundant number, since it is smaller than the sum of its proper divisors (53054064).

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

20405520 is a wasteful number, since it uses less digits than its factorization.

20405520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

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

The square root of 20405520 is about 4517.2469491937. The cubic root of 20405520 is about 273.2640845130.

Adding to 20405520 its reverse (2550402), we get a palindrome (22955922).

The spelling of 20405520 in words is "twenty million, four hundred five thousand, five hundred twenty".