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20027520 = 273351961
BaseRepresentation
bin100110001100…
…1100010000000
31101200111121000
41030121202000
520111340040
61553132000
7332142162
oct114314200
941614530
1020027520
1110339a77
12685a000
1341c2b06
142934932
151b59130
hex1319880

20027520 has 256 divisors, whose sum is σ = 75888000. Its totient is φ = 4976640.

The previous prime is 20027507. The next prime is 20027531. The reversal of 20027520 is 2572002.

It is a happy number.

It is a super-2 number, since 2×200275202 = 802203114700800, which contains 22 as substring.

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 = 20027493 and 20027502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328290 + ... + 328350.

Almost surely, 220027520 is an apocalyptic number.

20027520 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 20027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37944000).

20027520 is an abundant number, since it is smaller than the sum of its proper divisors (55860480).

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

20027520 is a wasteful number, since it uses less digits than its factorization.

20027520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 20027520 is about 4475.2117268348. The cubic root of 20027520 is about 271.5662058865.

Adding to 20027520 its reverse (2572002), we get a palindrome (22599522).

The spelling of 20027520 in words is "twenty million, twenty-seven thousand, five hundred twenty".