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16331296 = 2531101163
BaseRepresentation
bin111110010011…
…001000100000
31010201201022211
4332103020200
513140100141
61342011504
7255546052
oct76231040
933651284
1016331296
119244a43
125576b94
1334ca5b7
1422518d2
151678d81
hexf93220

16331296 has 48 divisors (see below), whose sum is σ = 33723648. Its totient is φ = 7776000.

The previous prime is 16331291. The next prime is 16331299. The reversal of 16331296 is 69213361.

It is a super-2 number, since 2×163312962 = 533422458079232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16331291) 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, 100111 + ... + 100273.

It is an arithmetic number, because the mean of its divisors is an integer number (702576).

Almost surely, 216331296 is an apocalyptic number.

16331296 is a gapful number since it is divisible by the number (16) 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 16331296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16861824).

16331296 is an abundant number, since it is smaller than the sum of its proper divisors (17392352).

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

16331296 is a wasteful number, since it uses less digits than its factorization.

16331296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The square root of 16331296 is about 4041.1998218351. The cubic root of 16331296 is about 253.7115372797.

The spelling of 16331296 in words is "sixteen million, three hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 101 124 163 202 248 326 404 496 652 808 992 1304 1616 2608 3131 3232 5053 5216 6262 10106 12524 16463 20212 25048 32926 40424 50096 65852 80848 100192 131704 161696 263408 510353 526816 1020706 2041412 4082824 8165648 16331296