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2102304 = 25361359
BaseRepresentation
bin1000000001010000100000
310221210211010
420001100200
51014233204
6113020520
723604111
oct10012040
93853733
102102304
111206546
12854740
13587b89
143ca208
152b7d89
hex201420

2102304 has 48 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 687360.

The previous prime is 2102291. The next prime is 2102311. The reversal of 2102304 is 4032012.

2102304 = T679 + T680 + ... + T687.

2102304 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2102304.

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, 5677 + ... + 6035.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22102304 is an apocalyptic number.

2102304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2102304 is an abundant number, since it is smaller than the sum of its proper divisors (3522336).

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

2102304 is a wasteful number, since it uses less digits than its factorization.

2102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2102304 is about 1449.9324122179. The cubic root of 2102304 is about 128.1047319913.

Adding to 2102304 its reverse (4032012), we get a palindrome (6134316).

The spelling of 2102304 in words is "two million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 359 366 488 718 732 976 1077 1436 1464 1952 2154 2872 2928 4308 5744 5856 8616 11488 17232 21899 34464 43798 65697 87596 131394 175192 262788 350384 525576 700768 1051152 2102304