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970164 = 223313691
BaseRepresentation
bin11101100110110110100
31211021211000
43230312310
5222021124
632443300
711150316
oct3546664
91737730
10970164
11602998
123a9530
1327c780
141b37b6
151426c9
hexecdb4

970164 has 48 divisors (see below), whose sum is σ = 2712640. Its totient is φ = 298080.

The previous prime is 970147. The next prime is 970201. The reversal of 970164 is 461079.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

970164 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 15 ways as a sum of consecutive naturals, for example, 1059 + ... + 1749.

2970164 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 970164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356320).

970164 is an abundant number, since it is smaller than the sum of its proper divisors (1742476).

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

970164 is a wasteful number, since it uses less digits than its factorization.

970164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 970164 is about 984.9690350463. The cubic root of 970164 is about 98.9954084188.

It can be divided in two parts, 97016 and 4, that added together give a triangular number (97020 = T440).

The spelling of 970164 in words is "nine hundred seventy thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 691 702 1382 1404 2073 2764 4146 6219 8292 8983 12438 17966 18657 24876 26949 35932 37314 53898 74628 80847 107796 161694 242541 323388 485082 970164