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2013240024 = 233227961667
BaseRepresentation
bin111011111111111…
…1001101011011000
312012022021012010100
41313333321223120
513110342140044
6531434415400
7100614154305
oct16777715330
95168235110
102013240024
11943470034
12482291560
132611318b3
141515440ac
15bbb2a869
hex77ff9ad8

2013240024 has 24 divisors (see below), whose sum is σ = 5452525260. Its totient is φ = 671079984.

The previous prime is 2013240023. The next prime is 2013240077. The reversal of 2013240024 is 4200423102.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 2013239979 and 2013240006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013240023) 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, 13980762 + ... + 13980905.

Almost surely, 22013240024 is an apocalyptic number.

2013240024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2013240024 is an abundant number, since it is smaller than the sum of its proper divisors (3439285236).

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

2013240024 is a wasteful number, since it uses less digits than its factorization.

2013240024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27961679 (or 27961672 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2013240024 is about 44869.1433392705. The cubic root of 2013240024 is about 1262.6951681285.

Adding to 2013240024 its reverse (4200423102), we get a palindrome (6213663126).

The spelling of 2013240024 in words is "two billion, thirteen million, two hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 27961667 55923334 83885001 111846668 167770002 223693336 251655003 335540004 503310006 671080008 1006620012 2013240024