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970032 = 24372887
BaseRepresentation
bin11101100110100110000
31211021122010
43230310300
5222020112
632442520
711150040
oct3546460
91737563
10970032
11602888
123a9440
1327c6ab
141b3720
1514263c
hexecd30

970032 has 40 divisors (see below), whose sum is σ = 2864896. Its totient is φ = 277056.

The previous prime is 970031. The next prime is 970043. The reversal of 970032 is 230079.

970032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 969990 and 970008.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 970032.

It is not an unprimeable number, because it can be changed into a prime (970031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1108 + ... + 1779.

2970032 is an apocalyptic number.

It is an amenable number.

970032 is an abundant number, since it is smaller than the sum of its proper divisors (1894864).

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

970032 is a wasteful number, since it uses less digits than its factorization.

970032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 970032 is about 984.9020255843. The cubic root of 970032 is about 98.9909184609.

The spelling of 970032 in words is "nine hundred seventy thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2887 5774 8661 11548 17322 20209 23096 34644 40418 46192 60627 69288 80836 121254 138576 161672 242508 323344 485016 970032