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2117142 = 232117619
BaseRepresentation
bin1000000100111000010110
310222120011200
420010320112
51020222032
6113213330
723665266
oct10047026
93876150
102117142
111216705
12861246
13591861
143d17a6
152bc47c
hex204e16

2117142 has 12 divisors (see below), whose sum is σ = 4587180. Its totient is φ = 705708.

The previous prime is 2117131. The next prime is 2117147. The reversal of 2117142 is 2417112.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 117619 = 2117142 / (2 + 1 + 1 + 7 + 1 + 4 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58792 + ... + 58827.

It is an arithmetic number, because the mean of its divisors is an integer number (382265).

22117142 is an apocalyptic number.

2117142 is an abundant number, since it is smaller than the sum of its proper divisors (2470038).

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

2117142 is a wasteful number, since it uses less digits than its factorization.

2117142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117627 (or 117624 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 2117142 is about 1455.0402056301. The cubic root of 2117142 is about 128.4054121805.

The spelling of 2117142 in words is "two million, one hundred seventeen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 117619 235238 352857 705714 1058571 2117142