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2100064 = 25293173
BaseRepresentation
bin1000000000101101100000
310221200202011
420000231200
51014200224
6113002304
723564431
oct10005540
93850664
102100064
11120489a
12853394
13586b55
143c9488
152b7394
hex200b60

2100064 has 48 divisors (see below), whose sum is σ = 4475520. Its totient is φ = 967680.

The previous prime is 2100053. The next prime is 2100071. The reversal of 2100064 is 4600012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28732 + ... + 28804.

It is an arithmetic number, because the mean of its divisors is an integer number (93240).

22100064 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 2100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237760).

2100064 is an abundant number, since it is smaller than the sum of its proper divisors (2375456).

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

2100064 is a wasteful number, since it uses less digits than its factorization.

2100064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2100064 is about 1449.1597565486. The cubic root of 2100064 is about 128.0592173914.

Adding to 2100064 its reverse (4600012), we get a palindrome (6700076).

The spelling of 2100064 in words is "two million, one hundred thousand, sixty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 73 116 124 146 232 248 292 464 496 584 899 928 992 1168 1798 2117 2263 2336 3596 4234 4526 7192 8468 9052 14384 16936 18104 28768 33872 36208 65627 67744 72416 131254 262508 525016 1050032 2100064