Search a number
-
+
16073872 = 2423311409
BaseRepresentation
bin111101010100…
…010010010000
31010020122012121
4331110102100
513103330442
61332304024
7253424413
oct75242220
933218177
1016073872
1190895a1
125472014
13343a389
1421c5b7a
151627967
hexf54490

16073872 has 40 divisors (see below), whose sum is σ = 33569280. Its totient is φ = 7434240.

The previous prime is 16073843. The next prime is 16073879. The reversal of 16073872 is 27837061.

It is a super-2 number, since 2×160738722 = 516738722144768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16073879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10704 + ... + 12112.

It is an arithmetic number, because the mean of its divisors is an integer number (839232).

Almost surely, 216073872 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 16073872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16784640).

16073872 is an abundant number, since it is smaller than the sum of its proper divisors (17495408).

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

16073872 is a wasteful number, since it uses less digits than its factorization.

16073872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 16073872 is about 4009.2233661895. The cubic root of 16073872 is about 252.3714183744.

The spelling of 16073872 in words is "sixteen million, seventy-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 496 713 1409 1426 2818 2852 5636 5704 11272 11408 22544 32407 43679 64814 87358 129628 174716 259256 349432 518512 698864 1004617 2009234 4018468 8036936 16073872