Search a number
-
+
2101536 = 25327297
BaseRepresentation
bin1000000001000100100000
310221202202200
420001010200
51014222121
6113013200
723601633
oct10010440
93852680
102101536
111205a08
12854200
13587718
143c9c1a
152b7a26
hex201120

2101536 has 36 divisors (see below), whose sum is σ = 5977062. Its totient is φ = 700416.

The previous prime is 2101531. The next prime is 2101549. The reversal of 2101536 is 6351012.

It can be written as a sum of positive squares in only one way, i.e., 1904400 + 197136 = 1380^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2101531) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3361 + ... + 3936.

22101536 is an apocalyptic number.

It is an amenable number.

2101536 is an abundant number, since it is smaller than the sum of its proper divisors (3875526).

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

2101536 is a wasteful number, since it uses less digits than its factorization.

2101536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7313 (or 7302 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2101536 is about 1449.6675480951. The cubic root of 2101536 is about 128.0891306293.

Adding to 2101536 its reverse (6351012), we get a palindrome (8452548).

The spelling of 2101536 in words is "two million, one hundred one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7297 14594 21891 29188 43782 58376 65673 87564 116752 131346 175128 233504 262692 350256 525384 700512 1050768 2101536