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164143620 = 223253972297
BaseRepresentation
bin10011100100010…
…10001000000100
3102102212100201100
421302022020010
5314010043440
624142100100
74032124554
oct1162121004
9372770640
10164143620
1184722593
1246b7a630
1328011804
1417b2b164
15e625230
hex9c8a204

164143620 has 72 divisors (see below), whose sum is σ = 499373784. Its totient is φ = 43642368.

The previous prime is 164143591. The next prime is 164143631. The reversal of 164143620 is 26341461.

It can be written as a sum of positive squares in 4 ways, for example, as 24147396 + 139996224 = 4914^2 + 11832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70312 + ... + 72608.

It is an arithmetic number, because the mean of its divisors is an integer number (6935747).

Almost surely, 2164143620 is an apocalyptic number.

164143620 is a gapful number since it is divisible by the number (10) 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 164143620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249686892).

164143620 is an abundant number, since it is smaller than the sum of its proper divisors (335230164).

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

164143620 is a wasteful number, since it uses less digits than its factorization.

164143620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 164143620 is about 12811.8546666749. The cubic root of 164143620 is about 547.5301040556.

The spelling of 164143620 in words is "one hundred sixty-four million, one hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 794 1191 1588 1985 2297 2382 3573 3970 4594 4764 5955 6891 7146 7940 9188 11485 11910 13782 14292 17865 20673 22970 23820 27564 34455 35730 41346 45940 68910 71460 82692 103365 137820 206730 413460 911909 1823818 2735727 3647636 4559545 5471454 8207181 9119090 10942908 13678635 16414362 18238180 27357270 32828724 41035905 54714540 82071810 164143620