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20144025 = 3352112713
BaseRepresentation
bin100110011010…
…1111110011001
31101220102102000
41030311332121
520124102100
61555431213
7333135636
oct114657631
941812360
1020144025
1110409560
1268b5509
134233b55
14296518d
151b7d900
hex1335f99

20144025 has 48 divisors (see below), whose sum is σ = 40384320. Its totient is φ = 9763200.

The previous prime is 20144023. The next prime is 20144027. The reversal of 20144025 is 52044102.

20144025 is a `hidden beast` number, since 201 + 440 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (20144023) and next prime (20144027).

It is not a de Polignac number, because 20144025 - 21 = 20144023 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20143989 and 20144007.

It is not an unprimeable number, because it can be changed into a prime (20144023) 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, 6069 + ... + 8781.

It is an arithmetic number, because the mean of its divisors is an integer number (841340).

Almost surely, 220144025 is an apocalyptic number.

20144025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20144025 is an abundant number, since it is smaller than the sum of its proper divisors (20240295).

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

20144025 is a wasteful number, since it uses less digits than its factorization.

20144025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20144025 is about 4488.2095539313. The cubic root of 20144025 is about 272.0917771681.

Adding to 20144025 its reverse (52044102), we get a palindrome (72188127).

The spelling of 20144025 in words is "twenty million, one hundred forty-four thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 2713 7425 8139 13565 24417 29843 40695 67825 73251 89529 122085 149215 203475 268587 366255 447645 610425 746075 805761 1342935 1831275 2238225 4028805 6714675 20144025