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970020 = 2232517317
BaseRepresentation
bin11101100110100100100
31211021121200
43230310210
5222020040
632442500
711150022
oct3546444
91737550
10970020
11602877
123a9430
1327c69c
141b3712
15142630
hexecd24

970020 has 72 divisors (see below), whose sum is σ = 3125304. Its totient is φ = 242688.

The previous prime is 969989. The next prime is 970027. The reversal of 970020 is 20079.

970020 is digitally balanced in base 2, because in such base 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 36864 + 933156 = 192^2 + 966^2 .

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 = 969975 and 970002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970027) by changing a digit.

970020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2902 + ... + 3218.

It is an arithmetic number, because the mean of its divisors is an integer number (43407).

2970020 is an apocalyptic number.

970020 is a gapful number since it is divisible by the number (90) 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 970020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562652).

970020 is an abundant number, since it is smaller than the sum of its proper divisors (2155284).

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

970020 is a wasteful number, since it uses less digits than its factorization.

970020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 970020 is about 984.8959335889. The cubic root of 970020 is about 98.9905102627.

Adding to 970020 its reverse (20079), we get a palindrome (990099).

The spelling of 970020 in words is "nine hundred seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 317 340 510 612 634 765 951 1020 1268 1530 1585 1902 2853 3060 3170 3804 4755 5389 5706 6340 9510 10778 11412 14265 16167 19020 21556 26945 28530 32334 48501 53890 57060 64668 80835 97002 107780 161670 194004 242505 323340 485010 970020