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2102144 = 27111493
BaseRepresentation
bin1000000001001110000000
310221210121012
420001032000
51014232034
6113020052
723603462
oct10011600
93853535
102102144
111206410
12854628
13587a95
143ca132
152b7cce
hex201380

2102144 has 32 divisors (see below), whose sum is σ = 4571640. Its totient is φ = 954880.

The previous prime is 2102143. The next prime is 2102167. The reversal of 2102144 is 4412012.

2102144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102143) by changing a digit.

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, 662 + ... + 2154.

22102144 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 2102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285820).

2102144 is an abundant number, since it is smaller than the sum of its proper divisors (2469496).

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

2102144 is a wasteful number, since it uses less digits than its factorization.

2102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2102144 is about 1449.8772361824. The cubic root of 2102144 is about 128.1014820209.

Adding to 2102144 its reverse (4412012), we get a palindrome (6514156).

The spelling of 2102144 in words is "two million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1493 2986 5972 11944 16423 23888 32846 47776 65692 95552 131384 191104 262768 525536 1051072 2102144