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2106852 = 2231121451
BaseRepresentation
bin1000000010010111100100
310222001001120
420002113210
51014404402
6113053540
723623266
oct10022744
93861046
102106852
111209a00
128572b0
13589c77
143cbb36
152b93bc
hex2025e4

2106852 has 36 divisors (see below), whose sum is σ = 5407248. Its totient is φ = 638000.

The previous prime is 2106847. The next prime is 2106857. The reversal of 2106852 is 2586012.

It is an interprime number because it is at equal distance from previous prime (2106847) and next prime (2106857).

It is not an unprimeable number, because it can be changed into a prime (2106857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727 + ... + 2177.

22106852 is an apocalyptic number.

2106852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 1451×1452.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703624).

2106852 is an abundant number, since it is smaller than the sum of its proper divisors (3300396).

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

2106852 is a wasteful number, since it uses less digits than its factorization.

2106852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2106852 is about 1451.4999138822. The cubic root of 2106852 is about 128.1970435203.

The spelling of 2106852 in words is "two million, one hundred six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1451 1452 2902 4353 5804 8706 15961 17412 31922 47883 63844 95766 175571 191532 351142 526713 702284 1053426 2106852