Search a number
-
+
16165728 = 253256131
BaseRepresentation
bin111101101010…
…101101100000
31010102022012200
4331222231200
513114300403
61334253200
7254256255
oct75525540
933368180
1016165728
119141607
1254b7200
133470127
14220b42c
151644ca3
hexf6ab60

16165728 has 36 divisors (see below), whose sum is σ = 45972108. Its totient is φ = 5388480.

The previous prime is 16165727. The next prime is 16165733. The reversal of 16165728 is 82756161.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×161657282 = 522661523539968, which contains 22 as substring.

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 = 16165692 and 16165701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16165727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27778 + ... + 28353.

It is an arithmetic number, because the mean of its divisors is an integer number (1277003).

Almost surely, 216165728 is an apocalyptic number.

16165728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16165728 is an abundant number, since it is smaller than the sum of its proper divisors (29806380).

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

16165728 is a wasteful number, since it uses less digits than its factorization.

16165728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56147 (or 56136 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 16165728 is about 4020.6626319551. The cubic root of 16165728 is about 252.8512407481.

The spelling of 16165728 in words is "sixteen million, one hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 56131 112262 168393 224524 336786 449048 505179 673572 898096 1010358 1347144 1796192 2020716 2694288 4041432 5388576 8082864 16165728