Search a number
-
+
2014144 = 26112861
BaseRepresentation
bin111101011101111000000
310210022212221
413223233000
51003423034
6111100424
723056066
oct7535700
93708787
102014144
111156290
12811714
13556a02
143a6036
1529bbb4
hex1ebbc0

2014144 has 28 divisors (see below), whose sum is σ = 4361688. Its totient is φ = 915200.

The previous prime is 2014141. The next prime is 2014147. The reversal of 2014144 is 4414102.

It is an interprime number because it is at equal distance from previous prime (2014141) and next prime (2014147).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 727 + ... + 2134.

22014144 is an apocalyptic number.

It is an amenable number.

2014144 is an abundant number, since it is smaller than the sum of its proper divisors (2347544).

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

2014144 is a wasteful number, since it uses less digits than its factorization.

2014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2014144 is about 1419.2054114891. The cubic root of 2014144 is about 126.2884129755.

Adding to 2014144 its reverse (4414102), we get a palindrome (6428246).

The spelling of 2014144 in words is "two million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 2861 5722 11444 22888 31471 45776 62942 91552 125884 183104 251768 503536 1007072 2014144