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20313440 = 255722591
BaseRepresentation
bin100110101111…
…1010101100000
31102020000210122
41031133111200
520200012230
62003215412
7334442600
oct115372540
942200718
1020313440
1110514874
126977568
134292cb4
1429aac00
151bb3be5
hex135f560

20313440 has 72 divisors (see below), whose sum is σ = 55847232. Its totient is φ = 6961920.

The previous prime is 20313437. The next prime is 20313467. The reversal of 20313440 is 4431302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6545 + ... + 9135.

It is an arithmetic number, because the mean of its divisors is an integer number (775656).

Almost surely, 220313440 is an apocalyptic number.

20313440 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 20313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27923616).

20313440 is an abundant number, since it is smaller than the sum of its proper divisors (35533792).

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

20313440 is a wasteful number, since it uses less digits than its factorization.

20313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 20313440 is about 4507.0433767604. The cubic root of 20313440 is about 272.8524295591.

Adding to 20313440 its reverse (4431302), we get a palindrome (24744742).

The spelling of 20313440 in words is "twenty million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 2591 3920 5182 7840 10364 12955 18137 20728 25910 36274 41456 51820 72548 82912 90685 103640 126959 145096 181370 207280 253918 290192 362740 414560 507836 580384 634795 725480 1015672 1269590 1450960 2031344 2539180 2901920 4062688 5078360 10156720 20313440