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2014502420 = 225722763389
BaseRepresentation
bin111100000010010…
…1101111000010100
312012101122022210202
41320010231320110
513111203034140
6531521440032
7100630662620
oct17004557024
95171568722
102014502420
11944152537
124827a0018
13261484388
14151792180
15bbcc9915
hex7812de14

2014502420 has 48 divisors (see below), whose sum is σ = 4856181120. Its totient is φ = 687633024.

The previous prime is 2014502381. The next prime is 2014502423. The reversal of 2014502420 is 242054102.

It is a happy number.

2014502420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2014502392 and 2014502401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014502423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86 + ... + 63474.

It is an arithmetic number, because the mean of its divisors is an integer number (101170440).

Almost surely, 22014502420 is an apocalyptic number.

2014502420 is a gapful number since it is divisible by the number (20) 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 2014502420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428090560).

2014502420 is an abundant number, since it is smaller than the sum of its proper divisors (2841678700).

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

2014502420 is a wasteful number, since it uses less digits than its factorization.

2014502420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63632 (or 63630 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2014502420 is about 44883.2086642655. The cubic root of 2014502420 is about 1262.9590360315.

Adding to 2014502420 its reverse (242054102), we get a palindrome (2256556522).

The spelling of 2014502420 in words is "two billion, fourteen million, five hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 227 454 908 1135 1589 2270 3178 4540 6356 7945 15890 31780 63389 126778 253556 316945 443723 633890 887446 1267780 1774892 2218615 4437230 8874460 14389303 28778606 57557212 71946515 100725121 143893030 201450242 287786060 402900484 503625605 1007251210 2014502420