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16381056 = 273291471
BaseRepresentation
bin111110011111…
…010010000000
31010211020120210
4332133102000
513143143211
61343034120
7256144116
oct76372200
933736523
1016381056
11927936a
12559b940
133517143
142265ab6
1516889a6
hexf9f480

16381056 has 64 divisors (see below), whose sum is σ = 45043200. Its totient is φ = 5268480.

The previous prime is 16381033. The next prime is 16381061. The reversal of 16381056 is 65018361.

16381056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10401 + ... + 11871.

It is an arithmetic number, because the mean of its divisors is an integer number (703800).

Almost surely, 216381056 is an apocalyptic number.

16381056 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 16381056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22521600).

16381056 is an abundant number, since it is smaller than the sum of its proper divisors (28662144).

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

16381056 is a wasteful number, since it uses less digits than its factorization.

16381056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 16381056 is about 4047.3517267468. The cubic root of 16381056 is about 253.9689548102.

The spelling of 16381056 in words is "sixteen million, three hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1471 1856 2784 2942 3712 4413 5568 5884 8826 11136 11768 17652 23536 35304 42659 47072 70608 85318 94144 127977 141216 170636 188288 255954 282432 341272 511908 564864 682544 1023816 1365088 2047632 2730176 4095264 5460352 8190528 16381056