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70020 = 22325389
BaseRepresentation
bin10001000110000100
310120001100
4101012010
54220040
61300100
7411066
oct210604
9116040
1070020
1148675
1234630
1325b42
141b736
1515b30
hex11184

70020 has 36 divisors (see below), whose sum is σ = 212940. Its totient is φ = 18624.

The previous prime is 70019. The next prime is 70039. The reversal of 70020 is 2007.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 49284 = 144^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 69984 and 70011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15 + ... + 374.

It is an arithmetic number, because the mean of its divisors is an integer number (5915).

270020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106470).

70020 is an abundant number, since it is smaller than the sum of its proper divisors (142920).

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

70020 is a wasteful number, since it uses less digits than its factorization.

70020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 9.

The square root of 70020 is about 264.6129248544. The cubic root of 70020 is about 41.2167776580.

Adding to 70020 its reverse (2007), we get a palindrome (72027).

The spelling of 70020 in words is "seventy thousand, twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 389 778 1167 1556 1945 2334 3501 3890 4668 5835 7002 7780 11670 14004 17505 23340 35010 70020