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2102628 = 2231117937
BaseRepresentation
bin1000000001010101100100
310221211021010
420001111210
51014241003
6113022220
723605053
oct10012544
93854233
102102628
111206810
12854970
13588078
143ca39a
152b8003
hex201564

2102628 has 48 divisors (see below), whose sum is σ = 5673024. Its totient is φ = 599040.

The previous prime is 2102623. The next prime is 2102629. The reversal of 2102628 is 8262012.

It is not an unprimeable number, because it can be changed into a prime (2102623) 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 15 ways as a sum of consecutive naturals, for example, 1776 + ... + 2712.

It is an arithmetic number, because the mean of its divisors is an integer number (118188).

22102628 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 2102628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836512).

2102628 is an abundant number, since it is smaller than the sum of its proper divisors (3570396).

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

2102628 is a wasteful number, since it uses less digits than its factorization.

2102628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2102628 is about 1450.0441372593. The cubic root of 2102628 is about 128.1113126763. Note that the first 3 decimals are identical.

Adding to 2102628 its product of nonzero digits (384), we get a palindrome (2103012).

The spelling of 2102628 in words is "two million, one hundred two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 937 1122 1874 2244 2811 3748 5622 10307 11244 15929 20614 30921 31858 41228 47787 61842 63716 95574 123684 175219 191148 350438 525657 700876 1051314 2102628