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2124018 = 2321329313
BaseRepresentation
bin1000000110100011110010
310222220121100
420012203302
51020432033
6113305230
724024321
oct10064362
93886540
102124018
111220896
12865216
13594a20
143d40b8
152be513
hex2068f2

2124018 has 48 divisors (see below), whose sum is σ = 5143320. Its totient is φ = 628992.

The previous prime is 2124013. The next prime is 2124019. The reversal of 2124018 is 8104212.

It can be written as a sum of positive squares in 4 ways, for example, as 762129 + 1361889 = 873^2 + 1167^2 .

It is a super-2 number, since 2×21240182 = 9022904928648, which contains 22 as substring.

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

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2124011) 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, 6630 + ... + 6942.

22124018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571660).

2124018 is an abundant number, since it is smaller than the sum of its proper divisors (3019302).

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

2124018 is a wasteful number, since it uses less digits than its factorization.

2124018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 360 counting only the distinct ones).

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

The square root of 2124018 is about 1457.4011115681. The cubic root of 2124018 is about 128.5442725716.

The spelling of 2124018 in words is "two million, one hundred twenty-four thousand, eighteen".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 313 377 522 626 754 939 1131 1878 2262 2817 3393 4069 5634 6786 8138 9077 12207 18154 24414 27231 36621 54462 73242 81693 118001 163386 236002 354003 708006 1062009 2124018