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16057296 = 2432111509
BaseRepresentation
bin111101010000…
…001111010000
31010012210110200
4331100033100
513102313141
61332055200
7253325163
oct75201720
933183420
1016057296
1190780a2
125464500
133432978
1421bdada
151622ab6
hexf503d0

16057296 has 30 divisors (see below), whose sum is σ = 44938530. Its totient is φ = 5352384.

The previous prime is 16057259. The next prime is 16057309. The reversal of 16057296 is 69275061.

It can be written as a sum of positive squares in only one way, i.e., 11128896 + 4928400 = 3336^2 + 2220^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16057296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55611 + ... + 55898.

It is an arithmetic number, because the mean of its divisors is an integer number (1497951).

Almost surely, 216057296 is an apocalyptic number.

16057296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16057296 is an abundant number, since it is smaller than the sum of its proper divisors (28881234).

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

16057296 is a wasteful number, since it uses less digits than its factorization.

16057296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111523 (or 111514 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 16057296 is about 4007.1555996742. The cubic root of 16057296 is about 252.2846368063.

The spelling of 16057296 in words is "sixteen million, fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 111509 223018 334527 446036 669054 892072 1003581 1338108 1784144 2007162 2676216 4014324 5352432 8028648 16057296