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20382208 = 29711247
BaseRepresentation
bin100110111000…
…0001000000000
31102100112010121
41031300020000
520204212313
62004510024
7335150230
oct115601000
942315117
1020382208
1110561500
1269ab314
1342b83a2
1429c7cc0
151bc928d
hex1370200

20382208 has 120 divisors (see below), whose sum is σ = 52246656. Its totient is φ = 7772160.

The previous prime is 20382191. The next prime is 20382217. The reversal of 20382208 is 80228302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433641 + ... + 433687.

Almost surely, 220382208 is an apocalyptic number.

20382208 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 20382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26123328).

20382208 is an abundant number, since it is smaller than the sum of its proper divisors (31864448).

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

20382208 is an equidigital number, since it uses as much as digits as its factorization.

20382208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 20382208 is about 4514.6658791100. The cubic root of 20382208 is about 273.1599826200.

The spelling of 20382208 in words is "twenty million, three hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 64 77 88 94 112 121 128 154 176 188 224 242 256 308 329 352 376 448 484 512 517 616 658 704 752 847 896 968 1034 1232 1316 1408 1504 1694 1792 1936 2068 2464 2632 2816 3008 3388 3584 3619 3872 4136 4928 5264 5632 5687 6016 6776 7238 7744 8272 9856 10528 11374 12032 13552 14476 15488 16544 19712 21056 22748 24064 27104 28952 30976 33088 39424 39809 42112 45496 54208 57904 61952 66176 79618 84224 90992 108416 115808 132352 159236 168448 181984 216832 231616 264704 318472 363968 433664 463232 636944 727936 926464 1273888 1455872 1852928 2547776 2911744 5095552 10191104 20382208