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2142918 = 2321747149
BaseRepresentation
bin1000001011001011000110
311000212112100
420023023012
51022033133
6113532530
724133401
oct10131306
94025470
102142918
111234008
12874146
135a04cb
143dad38
152c4e13
hex20b2c6

2142918 has 48 divisors (see below), whose sum is σ = 5054400. Its totient is φ = 653568.

The previous prime is 2142911. The next prime is 2142923. The reversal of 2142918 is 8192412.

It is a junction number, because it is equal to n+sod(n) for n = 2142891 and 2142900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14308 + ... + 14456.

It is an arithmetic number, because the mean of its divisors is an integer number (105300).

22142918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527200).

2142918 is an abundant number, since it is smaller than the sum of its proper divisors (2911482).

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

2142918 is a wasteful number, since it uses less digits than its factorization.

2142918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2142918 is about 1463.8708959468. The cubic root of 2142918 is about 128.9244194003.

The spelling of 2142918 in words is "two million, one hundred forty-two thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 149 153 282 298 306 423 447 799 846 894 1341 1598 2397 2533 2682 4794 5066 7003 7191 7599 14006 14382 15198 21009 22797 42018 45594 63027 119051 126054 238102 357153 714306 1071459 2142918