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2118042 = 23361643
BaseRepresentation
bin1000000101000110011010
310222121102000
420011012122
51020234132
6113221430
724001023
oct10050632
93877360
102118042
111217353
12861876
135920a4
143d1c4a
152bc87c
hex20519a

2118042 has 32 divisors (see below), whose sum is σ = 4791360. Its totient is φ = 693360.

The previous prime is 2118037. The next prime is 2118043. The reversal of 2118042 is 2408112.

It is a super-2 number, since 2×21180422 = 8972203827528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2118043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2973 + ... + 3615.

It is an arithmetic number, because the mean of its divisors is an integer number (149730).

22118042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2118042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395680).

2118042 is an abundant number, since it is smaller than the sum of its proper divisors (2673318).

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

2118042 is a wasteful number, since it uses less digits than its factorization.

2118042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2118042 is about 1455.3494425738. The cubic root of 2118042 is about 128.4236047091.

The spelling of 2118042 in words is "two million, one hundred eighteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 643 1098 1286 1647 1929 3294 3858 5787 11574 17361 34722 39223 78446 117669 235338 353007 706014 1059021 2118042