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16130592 = 253256009
BaseRepresentation
bin111101100010…
…001000100000
31010100112000100
4331202020200
513112134332
61333422400
7254051652
oct75421040
933315010
1016130592
119118175
12549aa00
13345a13a
1421dc6d2
15163967c
hexf62220

16130592 has 36 divisors (see below), whose sum is σ = 45872190. Its totient is φ = 5376768.

The previous prime is 16130573. The next prime is 16130593. The reversal of 16130592 is 29503161.

It can be written as a sum of positive squares in only one way, i.e., 9960336 + 6170256 = 3156^2 + 2484^2 .

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16130593) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27717 + ... + 28292.

Almost surely, 216130592 is an apocalyptic number.

16130592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16130592 is an abundant number, since it is smaller than the sum of its proper divisors (29741598).

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

16130592 is a wasteful number, since it uses less digits than its factorization.

16130592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56025 (or 56014 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 16130592 is about 4016.2908261230. The cubic root of 16130592 is about 252.6679182375.

The spelling of 16130592 in words is "sixteen million, one hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 56009 112018 168027 224036 336054 448072 504081 672108 896144 1008162 1344216 1792288 2016324 2688432 4032648 5376864 8065296 16130592