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2106096 = 243172989
BaseRepresentation
bin1000000010001011110000
310222000000120
420002023300
51014343341
6113050240
723621136
oct10021360
93860016
102106096
111209383
12856980
13589815
143cb756
152b9066
hex2022f0

2106096 has 80 divisors (see below), whose sum is σ = 6026400. Its totient is φ = 630784.

The previous prime is 2106089. The next prime is 2106107. The reversal of 2106096 is 6906012.

It is a super-2 number, since 2×21060962 = 8871280722432, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23620 + ... + 23708.

It is an arithmetic number, because the mean of its divisors is an integer number (75330).

22106096 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 2106096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013200).

2106096 is an abundant number, since it is smaller than the sum of its proper divisors (3920304).

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

2106096 is a wasteful number, since it uses less digits than its factorization.

2106096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2106096 is about 1451.2394702460. The cubic root of 2106096 is about 128.1817080720.

The spelling of 2106096 in words is "two million, one hundred six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 89 102 116 136 174 178 204 232 267 272 348 356 408 464 493 534 696 712 816 986 1068 1392 1424 1479 1513 1972 2136 2581 2958 3026 3944 4272 4539 5162 5916 6052 7743 7888 9078 10324 11832 12104 15486 18156 20648 23664 24208 30972 36312 41296 43877 61944 72624 87754 123888 131631 175508 263262 351016 526524 702032 1053048 2106096