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16064928 = 2532112461
BaseRepresentation
bin111101010010…
…000110100000
31010020011221100
4331102012200
513103034203
61332154400
7253356345
oct75220640
933204840
1016064928
119082900
125468a00
133436299
1421c27cc
151624ea3
hexf521a0

16064928 has 108 divisors (see below), whose sum is σ = 50324274. Its totient is φ = 4857600.

The previous prime is 16064903. The next prime is 16064941. The reversal of 16064928 is 82946061.

16064928 is a `hidden beast` number, since 1 + 6 + 0 + 649 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14653584 + 1411344 = 3828^2 + 1188^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 16064892 and 16064901.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34618 + ... + 35078.

Almost surely, 216064928 is an apocalyptic number.

16064928 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 16064928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162137).

16064928 is an abundant number, since it is smaller than the sum of its proper divisors (34259346).

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

16064928 is a wasteful number, since it uses less digits than its factorization.

16064928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16064928 is about 4008.1077829819. The cubic root of 16064928 is about 252.3246005997.

The spelling of 16064928 in words is "sixteen million, sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 461 484 528 726 792 922 968 1056 1089 1383 1452 1584 1844 1936 2178 2766 2904 3168 3688 3872 4149 4356 5071 5532 5808 7376 8298 8712 10142 11064 11616 14752 15213 16596 17424 20284 22128 30426 33192 34848 40568 44256 45639 55781 60852 66384 81136 91278 111562 121704 132768 162272 167343 182556 223124 243408 334686 365112 446248 486816 502029 669372 730224 892496 1004058 1338744 1460448 1784992 2008116 2677488 4016232 5354976 8032464 16064928