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1056768 = 213343
BaseRepresentation
bin100000010000000000000
31222200121120
410002000000
5232304033
634352240
711660646
oct4020000
91880546
101056768
11661a69
1242b680
132b000b
141d7196
1515d1b3
hex102000

1056768 has 56 divisors (see below), whose sum is σ = 2883408. Its totient is φ = 344064.

The previous prime is 1056739. The next prime is 1056773. The reversal of 1056768 is 8676501.

It is a super-2 number, since 2×10567682 = 2233517211648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24555 + ... + 24597.

21056768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441704).

1056768 is an abundant number, since it is smaller than the sum of its proper divisors (1826640).

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

1056768 is an frugal number, since it uses more digits than its factorization.

1056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1056768 is about 1027.9922178694. The cubic root of 1056768 is about 101.8575481667.

The spelling of 1056768 in words is "one million, fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2048 2064 2752 3072 4096 4128 5504 6144 8192 8256 11008 12288 16512 22016 24576 33024 44032 66048 88064 132096 176128 264192 352256 528384 1056768