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20371340 = 225112931103
BaseRepresentation
bin100110110110…
…1011110001100
31102022222020002
41031231132030
520203340330
62004343432
7335103443
oct115553614
942288202
1020371340
1110554320
1269a4b78
1342b3462
1429c3d5a
151bc5e45
hex136d78c

20371340 has 96 divisors (see below), whose sum is σ = 50319360. Its totient is φ = 6854400.

The previous prime is 20371339. The next prime is 20371357. The reversal of 20371340 is 4317302.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 197729 + ... + 197831.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 220371340 is an apocalyptic number.

20371340 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 20371340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

20371340 is an abundant number, since it is smaller than the sum of its proper divisors (29948020).

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

20371340 is a wasteful number, since it uses less digits than its factorization.

20371340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 20371340 is about 4513.4620858051. The cubic root of 20371340 is about 273.1114234306. Note that the first 3 decimals are identical.

Adding to 20371340 its reverse (4317302), we get a palindrome (24688642).

The spelling of 20371340 in words is "twenty million, three hundred seventy-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 31 44 55 58 62 103 110 116 124 145 155 206 220 290 310 319 341 412 515 580 620 638 682 899 1030 1133 1276 1364 1595 1705 1798 2060 2266 2987 3190 3193 3410 3596 4495 4532 5665 5974 6380 6386 6820 8990 9889 11330 11948 12772 14935 15965 17980 19778 22660 29870 31930 32857 35123 39556 49445 59740 63860 65714 70246 92597 98890 131428 140492 164285 175615 185194 197780 328570 351230 370388 462985 657140 702460 925970 1018567 1851940 2037134 4074268 5092835 10185670 20371340