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2100020 = 2251341197
BaseRepresentation
bin1000000000101100110100
310221200200112
420000230310
51014200040
6113002152
723564336
oct10005464
93850615
102100020
11120485a
12853358
13586b20
143c9456
152b7365
hex200b34

2100020 has 48 divisors (see below), whose sum is σ = 4889808. Its totient is φ = 752640.

The previous prime is 2100011. The next prime is 2100031. The reversal of 2100020 is 200012.

2100020 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 8 ways, for example, as 106276 + 1993744 = 326^2 + 1412^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 2099977 and 2100013.

It is a congruent number.

It is an unprimeable number.

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, 10562 + ... + 10758.

It is an arithmetic number, because the mean of its divisors is an integer number (101871).

22100020 is an apocalyptic number.

2100020 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 2100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444904).

2100020 is an abundant number, since it is smaller than the sum of its proper divisors (2789788).

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

2100020 is a wasteful number, since it uses less digits than its factorization.

2100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2100020 is about 1449.1445752581. The cubic root of 2100020 is about 128.0583230305.

Adding to 2100020 its reverse (200012), we get a palindrome (2300032).

The spelling of 2100020 in words is "two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 197 205 260 394 410 533 788 820 985 1066 1970 2132 2561 2665 3940 5122 5330 8077 10244 10660 12805 16154 25610 32308 40385 51220 80770 105001 161540 210002 420004 525005 1050010 2100020