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16720384 = 29172113
BaseRepresentation
bin111111110010…
…001000000000
31011110111001111
4333302020000
513240023014
61354213104
7262056322
oct77621000
934414044
1016720384
1194902aa
125724194
133605725
142313612
1517042c4
hexff2200

16720384 has 60 divisors (see below), whose sum is σ = 35802954. Its totient is φ = 7798784.

The previous prime is 16720369. The next prime is 16720409. The reversal of 16720384 is 48302761.

It can be written as a sum of positive squares in 3 ways, for example, as 13897984 + 2822400 = 3728^2 + 1680^2 .

It is a super-2 number, since 2×167203842 = 559142482214912, which contains 22 as substring.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147912 + ... + 148024.

Almost surely, 216720384 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 16720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17901477).

16720384 is an abundant number, since it is smaller than the sum of its proper divisors (19082570).

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

16720384 is an equidigital number, since it uses as much as digits as its factorization.

16720384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 16720384 is about 4089.0566149174. The cubic root of 16720384 is about 255.7106104893.

The spelling of 16720384 in words is "sixteen million, seven hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 128 136 226 256 272 289 452 512 544 578 904 1088 1156 1808 1921 2176 2312 3616 3842 4352 4624 7232 7684 8704 9248 14464 15368 18496 28928 30736 32657 36992 57856 61472 65314 73984 122944 130628 147968 245888 261256 491776 522512 983552 1045024 2090048 4180096 8360192 16720384