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16040768 = 26534729
BaseRepresentation
bin111101001100…
…001101000000
31010011221210112
4331030031000
513101301033
61331450452
7253226042
oct75141500
933157715
1016040768
119066737
125456a28
1334282a3
1421b7a92
15161cc48
hexf4c340

16040768 has 28 divisors (see below), whose sum is σ = 32438340. Its totient is φ = 7867392.

The previous prime is 16040749. The next prime is 16040777. The reversal of 16040768 is 86704061.

It can be written as a sum of positive squares in 2 ways, for example, as 4804864 + 11235904 = 2192^2 + 3352^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1028 + ... + 5756.

Almost surely, 216040768 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 16040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219170).

16040768 is an abundant number, since it is smaller than the sum of its proper divisors (16397572).

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

16040768 is an equidigital number, since it uses as much as digits as its factorization.

16040768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 16040768 is about 4005.0927579770. The cubic root of 16040768 is about 252.1980470517.

The spelling of 16040768 in words is "sixteen million, forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 4729 9458 18916 37832 75664 151328 250637 302656 501274 1002548 2005096 4010192 8020384 16040768