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2149938 = 2327113151
BaseRepresentation
bin1000001100111000110010
311001020011100
420030320302
51022244223
6114025230
724163020
oct10147062
94036140
102149938
11123930a
12878216
135a376b
143dd710
152c7043
hex20ce32

2149938 has 48 divisors (see below), whose sum is σ = 5406336. Its totient is φ = 604800.

The previous prime is 2149937. The next prime is 2149991. The reversal of 2149938 is 8399412.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2149933) 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, 14163 + ... + 14313.

It is an arithmetic number, because the mean of its divisors is an integer number (112632).

22149938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703168).

2149938 is an abundant number, since it is smaller than the sum of its proper divisors (3256398).

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

2149938 is a wasteful number, since it uses less digits than its factorization.

2149938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 276 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2149938 is about 1466.2666878846. The cubic root of 2149938 is about 129.0650474183.

The spelling of 2149938 in words is "two million, one hundred forty-nine thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 151 226 302 339 453 678 791 906 1017 1057 1359 1582 2034 2114 2373 2718 3171 4746 6342 7119 9513 14238 17063 19026 34126 51189 102378 119441 153567 238882 307134 358323 716646 1074969 2149938