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2106936 = 2332132251
BaseRepresentation
bin1000000010011000111000
310222001011200
420002120320
51014410221
6113054200
723623446
oct10023070
93861150
102106936
111209a77
12857360
1358a010
143cbb96
152b9426
hex202638

2106936 has 48 divisors (see below), whose sum is σ = 6147960. Its totient is φ = 648000.

The previous prime is 2106931. The next prime is 2106943. The reversal of 2106936 is 6396012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190 + ... + 2061.

22106936 is an apocalyptic number.

2106936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073980).

2106936 is an abundant number, since it is smaller than the sum of its proper divisors (4041024).

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

2106936 is a wasteful number, since it uses less digits than its factorization.

2106936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2106936 is about 1451.5288491794. The cubic root of 2106936 is about 128.1987472325.

It can be divided in two parts, 2106 and 936, that multiplied together give a square (1971216 = 14042).

The spelling of 2106936 in words is "two million, one hundred six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2251 4502 6753 9004 13506 18008 20259 27012 29263 40518 54024 58526 81036 87789 117052 162072 175578 234104 263367 351156 526734 702312 1053468 2106936