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20300040 = 233251731107
BaseRepresentation
bin100110101110…
…0000100001000
31102012100102100
41031130010020
520144100130
62003033400
7334355535
oct115340410
942170370
1020300040
11105057a2
12696b860
134289b77
1429a5d8c
151baec60
hex135c108

20300040 has 192 divisors, whose sum is σ = 72783360. Its totient is φ = 4884480.

The previous prime is 20300039. The next prime is 20300041. The reversal of 20300040 is 4000302.

It is an interprime number because it is at equal distance from previous prime (20300039) and next prime (20300041).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20299995 and 20300031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189667 + ... + 189773.

It is an arithmetic number, because the mean of its divisors is an integer number (379080).

Almost surely, 220300040 is an apocalyptic number.

20300040 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 20300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36391680).

20300040 is an abundant number, since it is smaller than the sum of its proper divisors (52483320).

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

20300040 is a wasteful number, since it uses less digits than its factorization.

20300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 20300040 is about 4505.5565693930. The cubic root of 20300040 is about 272.7924195885.

Adding to 20300040 its reverse (4000302), we get a palindrome (24300342).

The spelling of 20300040 in words is "twenty million, three hundred thousand, forty".