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16145568 = 25346229
BaseRepresentation
bin111101100101…
…110010100000
31010101021120000
4331211302200
513113124233
61334020000
7254143425
oct75456240
933337500
1016145568
11912844a
1254a7600
133463bba
142203d4c
15163dd13
hexf65ca0

16145568 has 60 divisors (see below), whose sum is σ = 47491290. Its totient is φ = 5380992.

The previous prime is 16145567. The next prime is 16145599. The reversal of 16145568 is 86554161.

16145568 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13749264 + 2396304 = 3708^2 + 1548^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16145567) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 523 + ... + 5706.

Almost surely, 216145568 is an apocalyptic number.

16145568 is a gapful number since it is divisible by the number (18) 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 16145568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23745645).

16145568 is an abundant number, since it is smaller than the sum of its proper divisors (31345722).

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

16145568 is an equidigital number, since it uses as much as digits as its factorization.

16145568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6251 (or 6234 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 16145568 is about 4018.1548004028. The cubic root of 16145568 is about 252.7460882206.

The spelling of 16145568 in words is "sixteen million, one hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 6229 12458 18687 24916 37374 49832 56061 74748 99664 112122 149496 168183 199328 224244 298992 336366 448488 504549 597984 672732 896976 1009098 1345464 1793952 2018196 2690928 4036392 5381856 8072784 16145568