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20315340 = 22335172213
BaseRepresentation
bin100110101111…
…1110011001100
31102020010102000
41031133303030
520200042330
62003232300
7334451253
oct115376314
942203360
1020315340
1110516241
126978690
134293b16
1429ab79a
151bb4560
hex135fccc

20315340 has 96 divisors (see below), whose sum is σ = 66951360. Its totient is φ = 5096448.

The previous prime is 20315303. The next prime is 20315359. The reversal of 20315340 is 4351302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8074 + ... + 10286.

It is an arithmetic number, because the mean of its divisors is an integer number (697410).

Almost surely, 220315340 is an apocalyptic number.

20315340 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 20315340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33475680).

20315340 is an abundant number, since it is smaller than the sum of its proper divisors (46636020).

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

20315340 is a wasteful number, since it uses less digits than its factorization.

20315340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20315340 is about 4507.2541530293. The cubic root of 20315340 is about 272.8609362990.

Adding to 20315340 its reverse (4351302), we get a palindrome (24666642).

The spelling of 20315340 in words is "twenty million, three hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2213 2295 3060 4426 4590 6639 8852 9180 11065 13278 19917 22130 26556 33195 37621 39834 44260 59751 66390 75242 79668 99585 112863 119502 132780 150484 188105 199170 225726 239004 298755 338589 376210 398340 451452 564315 597510 677178 752420 1015767 1128630 1195020 1354356 1692945 2031534 2257260 3385890 4063068 5078835 6771780 10157670 20315340