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2100007 = 71347491
BaseRepresentation
bin1000000000101100100111
310221200200001
420000230213
51014200012
6113002131
723564320
oct10005447
93850601
102100007
111204848
12853347
13586b10
143c9447
152b7357
hex200b27

2100007 has 16 divisors (see below), whose sum is σ = 2644992. Its totient is φ = 1622880.

The previous prime is 2100001. The next prime is 2100011. The reversal of 2100007 is 7000012.

It is not a de Polignac number, because 2100007 - 211 = 2097959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2099966 and 2100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100001) 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, 4032 + ... + 4522.

It is an arithmetic number, because the mean of its divisors is an integer number (165312).

22100007 is an apocalyptic number.

2100007 is a deficient number, since it is larger than the sum of its proper divisors (544985).

2100007 is a wasteful number, since it uses less digits than its factorization.

2100007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558.

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 2100007 is about 1449.1400898464. The cubic root of 2100007 is about 128.0580587852.

Adding to 2100007 its reverse (7000012), we get a palindrome (9100019).

The spelling of 2100007 in words is "two million, one hundred thousand, seven".

Divisors: 1 7 13 47 91 329 491 611 3437 4277 6383 23077 44681 161539 300001 2100007