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164166000 = 2435327361
BaseRepresentation
bin10011100100011…
…11100101110000
3102102220111102020
421302033211300
5314011303000
624142351440
74032250035
oct1162174560
9372814366
10164166000
1184738389
1246b8b580
132801ba5b
1417b3538c
15e62bba0
hex9c8f970

164166000 has 80 divisors (see below), whose sum is σ = 529290528. Its totient is φ = 43776000.

The previous prime is 164165941. The next prime is 164166011. The reversal of 164166000 is 661461.

164166000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7681 + ... + 19680.

Almost surely, 2164166000 is an apocalyptic number.

164166000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164166000 is an abundant number, since it is smaller than the sum of its proper divisors (365124528).

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

164166000 is a wasteful number, since it uses less digits than its factorization.

164166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27387 (or 27371 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 164166000 is about 12812.7280467510. The cubic root of 164166000 is about 547.5549870755.

The spelling of 164166000 in words is "one hundred sixty-four million, one hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 27361 54722 82083 109444 136805 164166 218888 273610 328332 410415 437776 547220 656664 684025 820830 1094440 1313328 1368050 1641660 2052075 2188880 2736100 3283320 3420125 4104150 5472200 6566640 6840250 8208300 10260375 10944400 13680500 16416600 20520750 27361000 32833200 41041500 54722000 82083000 164166000