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171142740 = 2233517103181
BaseRepresentation
bin10100011001101…
…10111001010100
3102221000221201000
422030312321110
5322303031430
624552103300
74145455266
oct1214667124
9387027630
10171142740
118867308a
1249394b30
13295c24c2
1418a2db36
1510058e60
hexa336e54

171142740 has 192 divisors, whose sum is σ = 572382720. Its totient is φ = 42301440.

The previous prime is 171142739. The next prime is 171142781. The reversal of 171142740 is 47241171.

171142740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 945450 + ... + 945630.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2171142740 is an apocalyptic number.

171142740 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 171142740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286191360).

171142740 is an abundant number, since it is smaller than the sum of its proper divisors (401239980).

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

171142740 is a wasteful number, since it uses less digits than its factorization.

171142740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 171142740 is about 13082.1534924492. The cubic root of 171142740 is about 555.2043075419.

The spelling of 171142740 in words is "one hundred seventy-one million, one hundred forty-two thousand, seven hundred forty".