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20107440 = 2434529107
BaseRepresentation
bin100110010110…
…1000010110000
31101211120020000
41030231002300
520121414230
61554550000
7332624163
oct114550260
941746200
1020107440
1110394021
126898300
1342202c2
142955ada
151b72b60
hex132d0b0

20107440 has 200 divisors, whose sum is σ = 72919440. Its totient is φ = 5128704.

The previous prime is 20107429. The next prime is 20107441. The reversal of 20107440 is 4470102.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20107441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187867 + ... + 187973.

Almost surely, 220107440 is an apocalyptic number.

20107440 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 20107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36459720).

20107440 is an abundant number, since it is smaller than the sum of its proper divisors (52812000).

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

20107440 is a wasteful number, since it uses less digits than its factorization.

20107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20107440 is about 4484.1320230341. The cubic root of 20107440 is about 271.9269555878.

Adding to 20107440 its reverse (4470102), we get a palindrome (24577542).

The spelling of 20107440 in words is "twenty million, one hundred seven thousand, four hundred forty".