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160020020 = 22510617541
BaseRepresentation
bin10011000100110…
…11011000110100
3102011002212012102
421202123120310
5311431120040
623513441232
73652101446
oct1142333064
9364085172
10160020020
1182366456
1245710218
13271c9904
1417376496
15e0ad515
hex989b634

160020020 has 24 divisors (see below), whose sum is σ = 336403368. Its totient is φ = 63939200.

The previous prime is 160019971. The next prime is 160020041. The reversal of 160020020 is 20020061.

160020020 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5216656 + 154803364 = 2284^2 + 12442^2 .

160020020 is a modest number, since divided by 20020 gives 160 as remainder.

160020020 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 160019983 and 160020010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17450 + ... + 24990.

It is an arithmetic number, because the mean of its divisors is an integer number (14016807).

Almost surely, 2160020020 is an apocalyptic number.

160020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

160020020 is an abundant number, since it is smaller than the sum of its proper divisors (176383348).

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

160020020 is a wasteful number, since it uses less digits than its factorization.

160020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 160020020 is about 12649.9019759048. The cubic root of 160020020 is about 542.9061651416.

Adding to 160020020 its reverse (20020061), we get a palindrome (180040081).

It can be divided in two parts, 1600200 and 20, that multiplied together give a triangular number (32004000 = T8000).

The spelling of 160020020 in words is "one hundred sixty million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 1061 2122 4244 5305 7541 10610 15082 21220 30164 37705 75410 150820 8001001 16002002 32004004 40005005 80010010 160020020