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2100416 = 2637887
BaseRepresentation
bin1000000000110011000000
310221201020012
420000303000
51014203131
6113004052
723565443
oct10006300
93851205
102100416
11120508a
12853628
13587066
143c965a
152b752b
hex200cc0

2100416 has 28 divisors (see below), whose sum is σ = 4285488. Its totient is φ = 1020672.

The previous prime is 2100409. The next prime is 2100451. The reversal of 2100416 is 6140012.

It is a self number, because there is not a number n which added to its sum of digits gives 2100416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1925 + ... + 2811.

22100416 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 2100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142744).

2100416 is an abundant number, since it is smaller than the sum of its proper divisors (2185072).

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

2100416 is an equidigital number, since it uses as much as digits as its factorization.

2100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2100416 is about 1449.2812011477. The cubic root of 2100416 is about 128.0663718283.

Adding to 2100416 its reverse (6140012), we get a palindrome (8240428).

The spelling of 2100416 in words is "two million, one hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 887 1184 1774 2368 3548 7096 14192 28384 32819 56768 65638 131276 262552 525104 1050208 2100416