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2113872 = 24347937
BaseRepresentation
bin1000000100000101010000
310222101200120
420010011100
51020120442
6113150240
723652615
oct10040520
93871616
102113872
111214202
1285b380
13590217
143d050c
152bb4ec
hex204150

2113872 has 40 divisors (see below), whose sum is σ = 5582976. Its totient is φ = 688896.

The previous prime is 2113843. The next prime is 2113873. The reversal of 2113872 is 2783112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1788 + ... + 2724.

22113872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791488).

2113872 is an abundant number, since it is smaller than the sum of its proper divisors (3469104).

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

2113872 is a wasteful number, since it uses less digits than its factorization.

2113872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 989 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 2113872 is about 1453.9160911139. The cubic root of 2113872 is about 128.3392692294.

Adding to 2113872 its reverse (2783112), we get a palindrome (4896984).

The spelling of 2113872 in words is "two million, one hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 937 1128 1874 2256 2811 3748 5622 7496 11244 14992 22488 44039 44976 88078 132117 176156 264234 352312 528468 704624 1056936 2113872