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2100126 = 237311613
BaseRepresentation
bin1000000000101110011110
310221200211110
420000232132
51014201001
6113002450
723564550
oct10005636
93850743
102100126
111204946
12853426
13586ba2
143c94d0
152b73d6
hex200b9e

2100126 has 32 divisors (see below), whose sum is σ = 4958208. Its totient is φ = 580320.

The previous prime is 2100121. The next prime is 2100167. The reversal of 2100126 is 6210012.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496 + ... + 2108.

It is an arithmetic number, because the mean of its divisors is an integer number (154944).

22100126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479104).

2100126 is an abundant number, since it is smaller than the sum of its proper divisors (2858082).

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

2100126 is a wasteful number, since it uses less digits than its factorization.

2100126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2100126 is about 1449.1811480971. The cubic root of 2100126 is about 128.0604776059.

Adding to 2100126 its reverse (6210012), we get a palindrome (8310138).

It can be divided in two parts, 2 and 100126, that added together give a triangular number (100128 = T447).

The spelling of 2100126 in words is "two million, one hundred thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 1613 3226 4839 9678 11291 22582 33873 50003 67746 100006 150009 300018 350021 700042 1050063 2100126