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1056096 = 253219193
BaseRepresentation
bin100000001110101100000
31222122200200
410001311200
5232243341
634345200
711655666
oct4016540
91878620
101056096
11661508
1242b200
132ac912
141d6c36
1515cdb6
hex101d60

1056096 has 72 divisors (see below), whose sum is σ = 3177720. Its totient is φ = 331776.

The previous prime is 1056089. The next prime is 1056109. The reversal of 1056096 is 6906501.

1056096 is a `hidden beast` number, since 10 + 560 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10560962 = 2230677522432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5376 + ... + 5568.

It is an arithmetic number, because the mean of its divisors is an integer number (44135).

21056096 is an apocalyptic number.

1056096 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 1056096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588860).

1056096 is an abundant number, since it is smaller than the sum of its proper divisors (2121624).

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

1056096 is a wasteful number, since it uses less digits than its factorization.

1056096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1056096 is about 1027.6653151683. The cubic root of 1056096 is about 101.8359531442.

The spelling of 1056096 in words is "one million, fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 193 228 288 304 342 386 456 579 608 684 772 912 1158 1368 1544 1737 1824 2316 2736 3088 3474 3667 4632 5472 6176 6948 7334 9264 11001 13896 14668 18528 22002 27792 29336 33003 44004 55584 58672 66006 88008 117344 132012 176016 264024 352032 528048 1056096