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20368040 = 23571117389
BaseRepresentation
bin100110110110…
…0101010101000
31102022210200212
41031230222220
520203234130
62004320252
7335061020
oct115545250
942283625
1020368040
11105518a0
1269a3088
1342b1ac4
1429c2a80
151bc4e95
hex136caa8

20368040 has 128 divisors (see below), whose sum is σ = 60652800. Its totient is φ = 5959680.

The previous prime is 20368037. The next prime is 20368043. The reversal of 20368040 is 4086302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20368037) and next prime (20368043).

It is a junction number, because it is equal to n+sod(n) for n = 20367997 and 20368015.

It is not an unprimeable number, because it can be changed into a prime (20368043) 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, 52166 + ... + 52554.

It is an arithmetic number, because the mean of its divisors is an integer number (473850).

Almost surely, 220368040 is an apocalyptic number.

20368040 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 20368040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326400).

20368040 is an abundant number, since it is smaller than the sum of its proper divisors (40284760).

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

20368040 is a wasteful number, since it uses less digits than its factorization.

20368040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 20368040 is about 4513.0964979712. The cubic root of 20368040 is about 273.0966753193.

The spelling of 20368040 in words is "twenty million, three hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 308 340 374 385 389 440 476 595 616 680 748 770 778 935 952 1190 1309 1496 1540 1556 1870 1945 2380 2618 2723 3080 3112 3740 3890 4279 4760 5236 5446 6545 6613 7480 7780 8558 10472 10892 13090 13226 13615 15560 17116 21395 21784 26180 26452 27230 29953 33065 34232 42790 46291 52360 52904 54460 59906 66130 72743 85580 92582 108920 119812 132260 145486 149765 171160 185164 231455 239624 264520 290972 299530 363715 370328 462910 509201 581944 599060 727430 925820 1018402 1198120 1454860 1851640 2036804 2546005 2909720 4073608 5092010 10184020 20368040