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164271150 = 232521919213
BaseRepresentation
bin10011100101010…
…01010000101110
3102110002211122200
421302221100232
5314023134100
624144522330
74033165431
oct1162512056
9373084580
10164271150
11847aa38a
12470203a6
1328057884
1417b61818
15e64ce00
hex9ca942e

164271150 has 72 divisors (see below), whose sum is σ = 464594520. Its totient is φ = 41497920.

The previous prime is 164271091. The next prime is 164271161. The reversal of 164271150 is 51172461.

It is a happy number.

164271150 is a `hidden beast` number, since 1 + 642 + 7 + 1 + 15 + 0 = 666.

164271150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1057 + ... + 18156.

Almost surely, 2164271150 is an apocalyptic number.

164271150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164271150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232297260).

164271150 is an abundant number, since it is smaller than the sum of its proper divisors (300323370).

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

164271150 is a wasteful number, since it uses less digits than its factorization.

164271150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19250 (or 19242 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 164271150 is about 12816.8307315030. The cubic root of 164271150 is about 547.6718669790.

The spelling of 164271150 in words is "one hundred sixty-four million, two hundred seventy-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2850 4275 8550 19213 38426 57639 96065 115278 172917 192130 288195 345834 365047 480325 576390 730094 864585 960650 1095141 1440975 1729170 1825235 2190282 2881950 3285423 3650470 4322925 5475705 6570846 8645850 9126175 10951410 16427115 18252350 27378525 32854230 54757050 82135575 164271150