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2112930 = 2325171381
BaseRepresentation
bin1000000011110110100010
310222100101200
420003312202
51020103210
6113142030
723650101
oct10036642
93870350
102112930
111213526
1285a916
1358c971
143d0038
152bb0c0
hex203da2

2112930 has 48 divisors (see below), whose sum is σ = 5820984. Its totient is φ = 529920.

The previous prime is 2112923. The next prime is 2112937. The reversal of 2112930 is 392112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2112923) and next prime (2112937).

It can be written as a sum of positive squares in 4 ways, for example, as 1879641 + 233289 = 1371^2 + 483^2 .

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 (2112937) 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, 840 + ... + 2220.

22112930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910492).

2112930 is an abundant number, since it is smaller than the sum of its proper divisors (3708054).

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

2112930 is a wasteful number, since it uses less digits than its factorization.

2112930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2112930 is about 1453.5921023451. The cubic root of 2112930 is about 128.3202025508.

The spelling of 2112930 in words is "two million, one hundred twelve thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1381 1530 2762 4143 6905 8286 12429 13810 20715 23477 24858 41430 46954 62145 70431 117385 124290 140862 211293 234770 352155 422586 704310 1056465 2112930