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2100630 = 235721429
BaseRepresentation
bin1000000000110110010110
310221201112010
420000312112
51014210010
6113005050
723566200
oct10006626
93851463
102100630
111205264
12853786
1358719c
143c9770
152b7620
hex200d96

2100630 has 48 divisors (see below), whose sum is σ = 5868720. Its totient is φ = 479808.

The previous prime is 2100629. The next prime is 2100649. The reversal of 2100630 is 360012.

2100630 is a modest number, since divided by 630 gives 210 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756 + ... + 2184.

It is an arithmetic number, because the mean of its divisors is an integer number (122265).

22100630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934360).

2100630 is an abundant number, since it is smaller than the sum of its proper divisors (3768090).

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

2100630 is a wasteful number, since it uses less digits than its factorization.

2100630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2100630 is about 1449.3550289698. The cubic root of 2100630 is about 128.0707210100.

Adding to 2100630 its reverse (360012), we get a palindrome (2460642).

The spelling of 2100630 in words is "two million, one hundred thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1429 1470 2858 4287 7145 8574 10003 14290 20006 21435 30009 42870 50015 60018 70021 100030 140042 150045 210063 300090 350105 420126 700210 1050315 2100630