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20146340 = 2251007317
BaseRepresentation
bin100110011011…
…0100010100100
31101220112120202
41030312202210
520124140330
61555450032
7333145454
oct114664244
941815522
1020146340
1110410275
1268b6918
134234c16
142965d64
151b7e445
hex13368a4

20146340 has 12 divisors (see below), whose sum is σ = 42307356. Its totient is φ = 8058528.

The previous prime is 20146339. The next prime is 20146349. The reversal of 20146340 is 4364102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4194304 + 15952036 = 2048^2 + 3994^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1007317 = 20146340 / (2 + 0 + 1 + 4 + 6 + 3 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20146349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 503639 + ... + 503678.

It is an arithmetic number, because the mean of its divisors is an integer number (3525613).

Almost surely, 220146340 is an apocalyptic number.

20146340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20146340 is an abundant number, since it is smaller than the sum of its proper divisors (22161016).

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

20146340 is a wasteful number, since it uses less digits than its factorization.

20146340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007326 (or 1007324 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 20146340 is about 4488.4674444625. The cubic root of 20146340 is about 272.1021999169.

The spelling of 20146340 in words is "twenty million, one hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1007317 2014634 4029268 5036585 10073170 20146340