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2113144 = 231123759
BaseRepresentation
bin1000000011111001111000
310222100200121
420003321320
51020110034
6113143024
723650525
oct10037170
93870617
102113144
111213700
1285aa74
1358caa7
143d014c
152bb1b4
hex203e78

2113144 has 48 divisors (see below), whose sum is σ = 4548600. Its totient is φ = 918720.

The previous prime is 2113129. The next prime is 2113147. The reversal of 2113144 is 4413112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35787 + ... + 35845.

22113144 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 2113144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274300).

2113144 is an abundant number, since it is smaller than the sum of its proper divisors (2435456).

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

2113144 is a wasteful number, since it uses less digits than its factorization.

2113144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 2113144 is about 1453.6657112280. The cubic root of 2113144 is about 128.3245345441.

Adding to 2113144 its reverse (4413112), we get a palindrome (6526256).

Subtracting 2113144 from its reverse (4413112), we obtain a cube (2299968 = 1323).

The spelling of 2113144 in words is "two million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 37 44 59 74 88 118 121 148 236 242 296 407 472 484 649 814 968 1298 1628 2183 2596 3256 4366 4477 5192 7139 8732 8954 14278 17464 17908 24013 28556 35816 48026 57112 96052 192104 264143 528286 1056572 2113144