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20132440 = 2353761223
BaseRepresentation
bin100110011001…
…1001001011000
31101212211111221
41030303021120
520123214230
61555301424
7333060106
oct114631130
941784457
1020132440
1110400889
1268aa874
13422b7b3
142960c76
151b7a27a
hex1333258

20132440 has 64 divisors (see below), whose sum is σ = 47496960. Its totient is φ = 7672320.

The previous prime is 20132407. The next prime is 20132443. The reversal of 20132440 is 4423102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132443) 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 15 ways as a sum of consecutive naturals, for example, 90169 + ... + 90391.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 220132440 is an apocalyptic number.

20132440 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 20132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

20132440 is an abundant number, since it is smaller than the sum of its proper divisors (27364520).

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

20132440 is a wasteful number, since it uses less digits than its factorization.

20132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 20132440 is about 4486.9187645867. The cubic root of 20132440 is about 272.0396064010.

Adding to 20132440 its reverse (4423102), we get a palindrome (24555542).

The spelling of 20132440 in words is "twenty million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 61 74 122 148 185 223 244 296 305 370 446 488 610 740 892 1115 1220 1480 1784 2230 2257 2440 4460 4514 8251 8920 9028 11285 13603 16502 18056 22570 27206 33004 41255 45140 54412 66008 68015 82510 90280 108824 136030 165020 272060 330040 503311 544120 1006622 2013244 2516555 4026488 5033110 10066220 20132440