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20388368 = 24711131967
BaseRepresentation
bin100110111000…
…1101000010000
31102100211120202
41031301220100
520204411433
62004554332
7335204210
oct115615020
942324522
1020388368
11105660a0
1269b29a8
1342bb130
1429ca240
151bcaee8
hex1371a10

20388368 has 160 divisors (see below), whose sum is σ = 56663040. Its totient is φ = 6842880.

The previous prime is 20388367. The next prime is 20388371. The reversal of 20388368 is 86388302.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (20388367) 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, 304271 + ... + 304337.

It is an arithmetic number, because the mean of its divisors is an integer number (354144).

Almost surely, 220388368 is an apocalyptic number.

20388368 is a gapful number since it is divisible by the number (28) 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 20388368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28331520).

20388368 is an abundant number, since it is smaller than the sum of its proper divisors (36274672).

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

20388368 is a wasteful number, since it uses less digits than its factorization.

20388368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 20388368 is about 4515.3480486005. The cubic root of 20388368 is about 273.1874983829.

The spelling of 20388368 in words is "twenty million, three hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 19 22 26 28 38 44 52 56 67 76 77 88 91 104 112 133 134 143 152 154 176 182 208 209 247 266 268 286 304 308 364 418 469 494 532 536 572 616 728 737 836 871 938 988 1001 1064 1072 1144 1232 1273 1456 1463 1474 1672 1729 1742 1876 1976 2002 2128 2288 2546 2717 2926 2948 3344 3458 3484 3752 3952 4004 5092 5159 5434 5852 5896 6097 6916 6968 7504 8008 8911 9581 10184 10318 10868 11704 11792 12194 13832 13936 14003 16016 16549 17822 19019 19162 20368 20636 21736 23408 24388 27664 28006 33098 35644 38038 38324 41272 43472 48776 56012 66196 67067 71288 76076 76648 82544 97552 98021 112024 115843 132392 134134 142576 152152 153296 182039 196042 224048 231686 264784 268268 304304 364078 392084 463372 536536 728156 784168 926744 1073072 1274273 1456312 1568336 1853488 2548546 2912624 5097092 10194184 20388368