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16231296 = 27343983
BaseRepresentation
bin111101111010…
…101110000000
31010112122011010
4331322232000
513123400141
61335520520
7254651364
oct75725600
933478133
1016231296
1191868a4
125529140
133493c23
1422272a4
151659416
hexf7ab80

16231296 has 64 divisors (see below), whose sum is σ = 44161920. Its totient is φ = 5279232.

The previous prime is 16231279. The next prime is 16231297. The reversal of 16231296 is 69213261.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16231297) 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 7 ways as a sum of consecutive naturals, for example, 16021 + ... + 17003.

It is an arithmetic number, because the mean of its divisors is an integer number (690030).

Almost surely, 216231296 is an apocalyptic number.

16231296 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 16231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22080960).

16231296 is an abundant number, since it is smaller than the sum of its proper divisors (27930624).

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

16231296 is an equidigital number, since it uses as much as digits as its factorization.

16231296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1031 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 16231296 is about 4028.8082605158. The cubic root of 16231296 is about 253.1926334742.

The spelling of 16231296 in words is "sixteen million, two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 983 1032 1376 1966 2064 2752 2949 3932 4128 5504 5898 7864 8256 11796 15728 16512 23592 31456 42269 47184 62912 84538 94368 125824 126807 169076 188736 253614 338152 377472 507228 676304 1014456 1352608 2028912 2705216 4057824 5410432 8115648 16231296