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2106320 = 245113233
BaseRepresentation
bin1000000010001111010000
310222000022212
420002033100
51014400240
6113051252
723621606
oct10021720
93860285
102106320
111209567
12856b28
13589958
143cb876
152b9165
hex2023d0

2106320 has 40 divisors (see below), whose sum is σ = 4961736. Its totient is φ = 831488.

The previous prime is 2106311. The next prime is 2106329. The reversal of 2106320 is 236012.

It is an interprime number because it is at equal distance from previous prime (2106311) and next prime (2106329).

It can be written as a sum of positive squares in 4 ways, for example, as 55696 + 2050624 = 236^2 + 1432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2106295 and 2106304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106329) 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 7 ways as a sum of consecutive naturals, for example, 8924 + ... + 9156.

22106320 is an apocalyptic number.

2106320 is a gapful number since it is divisible by the number (20) 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 2106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480868).

2106320 is an abundant number, since it is smaller than the sum of its proper divisors (2855416).

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

2106320 is a wasteful number, since it uses less digits than its factorization.

2106320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2106320 is about 1451.3166436033. The cubic root of 2106320 is about 128.1862522911.

The spelling of 2106320 in words is "two million, one hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 233 452 466 565 904 932 1130 1165 1808 1864 2260 2330 3728 4520 4660 9040 9320 18640 26329 52658 105316 131645 210632 263290 421264 526580 1053160 2106320