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164675000 = 23557941
BaseRepresentation
bin10011101000010…
…11110110111000
3102110212100122002
421310023312320
5314124100000
624201320132
74036500020
oct1164136670
9373770562
10164675000
1184a55846
1247196048
1328169639
1417c28a80
15e6cc8d5
hex9d0bdb8

164675000 has 96 divisors (see below), whose sum is σ = 441534240. Its totient is φ = 56400000.

The previous prime is 164674997. The next prime is 164675003. The reversal of 164675000 is 576461.

164675000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164674997) and next prime (164675003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164675003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174530 + ... + 175470.

It is an arithmetic number, because the mean of its divisors is an integer number (4599315).

Almost surely, 2164675000 is an apocalyptic number.

164675000 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 164675000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220767120).

164675000 is an abundant number, since it is smaller than the sum of its proper divisors (276859240).

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

164675000 is an frugal number, since it uses more digits than its factorization.

164675000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 164675000 is about 12832.5757352139. The cubic root of 164675000 is about 548.1203049845.

The spelling of 164675000 in words is "one hundred sixty-four million, six hundred seventy-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 941 1000 1250 1400 1750 1882 2500 3125 3500 3764 4375 4705 5000 6250 6587 7000 7528 8750 9410 12500 13174 17500 18820 21875 23525 25000 26348 32935 35000 37640 43750 47050 52696 65870 87500 94100 117625 131740 164675 175000 188200 235250 263480 329350 470500 588125 658700 823375 941000 1176250 1317400 1646750 2352500 2940625 3293500 4116875 4705000 5881250 6587000 8233750 11762500 16467500 20584375 23525000 32935000 41168750 82337500 164675000