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171940240 = 24517912007
BaseRepresentation
bin10100011111110…
…01100110010000
3102222112110200001
422033321212100
5323004041430
625021135344
74155316333
oct1217714620
9388473601
10171940240
118906827a
12496ba554
13298114b4
1418b9a61a
15101653ca
hexa3f9990

171940240 has 40 divisors (see below), whose sum is σ = 402027840. Its totient is φ = 68386176.

The previous prime is 171940231. The next prime is 171940259. The reversal of 171940240 is 42049171.

171940240 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 (40).

It is a super-2 number, since 2×1719402402 = 59126892262515200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 171940199 and 171940208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8317 + ... + 20323.

It is an arithmetic number, because the mean of its divisors is an integer number (10050696).

Almost surely, 2171940240 is an apocalyptic number.

171940240 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 171940240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201013920).

171940240 is an abundant number, since it is smaller than the sum of its proper divisors (230087600).

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

171940240 is a wasteful number, since it uses less digits than its factorization.

171940240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12199 (or 12193 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 171940240 is about 13112.5985220322. The cubic root of 171940240 is about 556.0653616033.

The spelling of 171940240 in words is "one hundred seventy-one million, nine hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 12007 14320 24014 48028 60035 96056 120070 192112 240140 480280 960560 2149253 4298506 8597012 10746265 17194024 21492530 34388048 42985060 85970120 171940240