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2106912 = 253171291
BaseRepresentation
bin1000000010011000100000
310222001010210
420002120200
51014410122
6113054120
723623413
oct10023040
93861123
102106912
111209a55
12857340
13589cc2
143cbb7a
152b940c
hex202620

2106912 has 48 divisors (see below), whose sum is σ = 5860512. Its totient is φ = 660480.

The previous prime is 2106911. The next prime is 2106917. The reversal of 2106912 is 2196012.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2106911) 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, 987 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (122094).

22106912 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 2106912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256).

2106912 is an abundant number, since it is smaller than the sum of its proper divisors (3753600).

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

2106912 is a wasteful number, since it uses less digits than its factorization.

2106912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2106912 is about 1451.5205820105. The cubic root of 2106912 is about 128.1982604622.

The spelling of 2106912 in words is "two million, one hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1291 1632 2582 3873 5164 7746 10328 15492 20656 21947 30984 41312 43894 61968 65841 87788 123936 131682 175576 263364 351152 526728 702304 1053456 2106912