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16144896 = 29323457
BaseRepresentation
bin111101100101…
…101000000000
31010101020122010
4331211220000
513113114041
61334012520
7254141445
oct75455000
933336563
1016144896
119127999
1254a7140
1334637c1
1422039cc
15163da16
hexf65a00

16144896 has 80 divisors (see below), whose sum is σ = 44979264. Its totient is φ = 5136384.

The previous prime is 16144871. The next prime is 16144897. The reversal of 16144896 is 69844161.

It is not an unprimeable number, because it can be changed into a prime (16144897) 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, 35100 + ... + 35556.

Almost surely, 216144896 is an apocalyptic number.

16144896 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 16144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22489632).

16144896 is an abundant number, since it is smaller than the sum of its proper divisors (28834368).

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

16144896 is an equidigital number, since it uses as much as digits as its factorization.

16144896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 485 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 16144896 is about 4018.0711790609. The cubic root of 16144896 is about 252.7425816292.

The spelling of 16144896 in words is "sixteen million, one hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 457 512 552 736 768 914 1104 1371 1472 1536 1828 2208 2742 2944 3656 4416 5484 5888 7312 8832 10511 10968 11776 14624 17664 21022 21936 29248 31533 35328 42044 43872 58496 63066 84088 87744 116992 126132 168176 175488 233984 252264 336352 350976 504528 672704 701952 1009056 1345408 2018112 2690816 4036224 5381632 8072448 16144896