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20320440 = 23357171423
BaseRepresentation
bin100110110000…
…1000010111000
31102020101101220
41031201002320
520200223230
62003312040
7334502160
oct115410270
942211356
1020320440
111051a058
12697b620
13429623a
1429ad5a0
151bb5d10
hex13610b8

20320440 has 128 divisors (see below), whose sum is σ = 73820160. Its totient is φ = 4368384.

The previous prime is 20320439. The next prime is 20320441. The reversal of 20320440 is 4402302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20320439) and next prime (20320441).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20320441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13569 + ... + 14991.

It is an arithmetic number, because the mean of its divisors is an integer number (576720).

Almost surely, 220320440 is an apocalyptic number.

20320440 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 20320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36910080).

20320440 is an abundant number, since it is smaller than the sum of its proper divisors (53499720).

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

20320440 is a wasteful number, since it uses less digits than its factorization.

20320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20320440 is about 4507.8198721777. The cubic root of 20320440 is about 272.8837675576.

Adding to 20320440 its reverse (4402302), we get a palindrome (24722742).

The spelling of 20320440 in words is "twenty million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1423 1428 1785 2040 2380 2846 2856 3570 4269 4760 5692 7115 7140 8538 9961 11384 14230 14280 17076 19922 21345 24191 28460 29883 34152 39844 42690 48382 49805 56920 59766 72573 79688 85380 96764 99610 119532 120955 145146 149415 169337 170760 193528 199220 239064 241910 290292 298830 338674 362865 398440 483820 508011 580584 597660 677348 725730 846685 967640 1016022 1195320 1354696 1451460 1693370 2032044 2540055 2902920 3386740 4064088 5080110 6773480 10160220 20320440