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16538368 = 28711839
BaseRepresentation
bin111111000101…
…101100000000
31011010020101011
4333011230000
513213211433
61350250304
7260400550
oct77055400
934106334
1016538368
119376580
125656994
133570922
1422a7160
1516ba3cd
hexfc5b00

16538368 has 72 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 6435840.

The previous prime is 16538351. The next prime is 16538377. The reversal of 16538368 is 86383561.

It is a super-2 number, since 2×165383682 = 547035232206848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16538368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19293 + ... + 20131.

It is an arithmetic number, because the mean of its divisors is an integer number (572320).

Almost surely, 216538368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

16538368 is an abundant number, since it is smaller than the sum of its proper divisors (24668672).

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

16538368 is an equidigital number, since it uses as much as digits as its factorization.

16538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 859 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 16538368 is about 4066.7392343252. The cubic root of 16538368 is about 254.7793451955.

The spelling of 16538368 in words is "sixteen million, five hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 839 896 1232 1408 1678 1792 2464 2816 3356 4928 5873 6712 9229 9856 11746 13424 18458 19712 23492 26848 36916 46984 53696 64603 73832 93968 107392 129206 147664 187936 214784 258412 295328 375872 516824 590656 751744 1033648 1181312 1503488 2067296 2362624 4134592 8269184 16538368