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972060 = 223517953
BaseRepresentation
bin11101101010100011100
31211101102020
43231110130
5222101220
632500140
711155665
oct3552434
91741366
10972060
11604361
123aa650
132805ab
141b436c
15143040
hexed51c

972060 has 48 divisors (see below), whose sum is σ = 2884896. Its totient is φ = 243712.

The previous prime is 972047. The next prime is 972071. The reversal of 972060 is 60279.

It is a self number, because there is not a number n which added to its sum of digits gives 972060.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544 + ... + 1496.

It is an arithmetic number, because the mean of its divisors is an integer number (60102).

2972060 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 972060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442448).

972060 is an abundant number, since it is smaller than the sum of its proper divisors (1912836).

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

972060 is a wasteful number, since it uses less digits than its factorization.

972060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 972060 is about 985.9310320707. The cubic root of 972060 is about 99.0598556516.

The spelling of 972060 in words is "nine hundred seventy-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 953 1020 1906 2859 3812 4765 5718 9530 11436 14295 16201 19060 28590 32402 48603 57180 64804 81005 97206 162010 194412 243015 324020 486030 972060