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20140440 = 2335473571
BaseRepresentation
bin100110011010…
…1000110011000
31101220020111020
41030311012120
520123443230
61555402440
7333122325
oct114650630
941806436
1020140440
11104068a1
1268b3420
134232328
142963b4c
151b7c810
hex1335198

20140440 has 64 divisors (see below), whose sum is σ = 61724160. Its totient is φ = 5255040.

The previous prime is 20140429. The next prime is 20140451. The reversal of 20140440 is 4404102.

It is an interprime number because it is at equal distance from previous prime (20140429) and next prime (20140451).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 3855 + ... + 7425.

It is an arithmetic number, because the mean of its divisors is an integer number (964440).

Almost surely, 220140440 is an apocalyptic number.

20140440 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 20140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30862080).

20140440 is an abundant number, since it is smaller than the sum of its proper divisors (41583720).

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

20140440 is a wasteful number, since it uses less digits than its factorization.

20140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 20140440 is about 4487.8101564126. The cubic root of 20140440 is about 272.0756349640.

Adding to 20140440 its reverse (4404102), we get a palindrome (24544542).

The spelling of 20140440 in words is "twenty million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 3571 5640 7142 10713 14284 17855 21426 28568 35710 42852 53565 71420 85704 107130 142840 167837 214260 335674 428520 503511 671348 839185 1007022 1342696 1678370 2014044 2517555 3356740 4028088 5035110 6713480 10070220 20140440