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2106528 = 25321943
BaseRepresentation
bin1000000010010010100000
310222000121120
420002102200
51014402103
6113052240
723622324
oct10022240
93860546
102106528
111209736
12857080
13589a88
143cb984
152b9253
hex2024a0

2106528 has 24 divisors (see below), whose sum is σ = 5529888. Its totient is φ = 702144.

The previous prime is 2106523. The next prime is 2106529. The reversal of 2106528 is 8256012.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2106498 and 2106507.

It is not an unprimeable number, because it can be changed into a prime (2106523) 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 3 ways as a sum of consecutive naturals, for example, 10876 + ... + 11067.

It is an arithmetic number, because the mean of its divisors is an integer number (230412).

22106528 is an apocalyptic number.

It is an amenable number.

2106528 is an abundant number, since it is smaller than the sum of its proper divisors (3423360).

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

2106528 is a wasteful number, since it uses less digits than its factorization.

2106528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21956 (or 21948 counting only the distinct ones).

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

The square root of 2106528 is about 1451.3883009037. The cubic root of 2106528 is about 128.1904716346.

The spelling of 2106528 in words is "two million, one hundred six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 21943 43886 65829 87772 131658 175544 263316 351088 526632 702176 1053264 2106528