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164660 = 2258233
BaseRepresentation
bin101000001100110100
322100212112
4220030310
520232120
63310152
71254026
oct501464
9270775
10164660
11102791
127b358
1359c42
1444016
1533bc5
hex28334

164660 has 12 divisors (see below), whose sum is σ = 345828. Its totient is φ = 65856.

The previous prime is 164653. The next prime is 164663. The reversal of 164660 is 66461.

164660 = T70 + T71 + ... + T109.

It can be written as a sum of positive squares in 2 ways, for example, as 44944 + 119716 = 212^2 + 346^2 .

It is a super-2 number, since 2×1646602 = 54225831200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164663) by changing a digit.

164660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4097 + ... + 4136.

It is an arithmetic number, because the mean of its divisors is an integer number (28819).

2164660 is an apocalyptic number.

164660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164660 is an abundant number, since it is smaller than the sum of its proper divisors (181168).

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

164660 is a wasteful number, since it uses less digits than its factorization.

164660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 164660 is about 405.7831933434. The cubic root of 164660 is about 54.8103661992.

The spelling of 164660 in words is "one hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 8233 16466 32932 41165 82330 164660