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1076768 = 257111923
BaseRepresentation
bin100000110111000100000
32000201001022
410012320200
5233424033
635025012
712103160
oct4067040
92021038
101076768
11675aa0
1243b168
132b9154
142005a0
15164098
hex106e20

1076768 has 96 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 380160.

The previous prime is 1076767. The next prime is 1076771. The reversal of 1076768 is 8676701.

It is not an unprimeable number, because it can be changed into a prime (1076767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46805 + ... + 46827.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

21076768 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 1076768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

1076768 is an abundant number, since it is smaller than the sum of its proper divisors (1826272).

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

1076768 is a wasteful number, since it uses less digits than its factorization.

1076768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 1076768 is about 1037.6743227044. The cubic root of 1076768 is about 102.4961093110.

The spelling of 1076768 in words is "one million, seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 23 28 32 38 44 46 56 76 77 88 92 112 133 152 154 161 176 184 209 224 253 266 304 308 322 352 368 418 437 506 532 608 616 644 736 836 874 1012 1064 1232 1288 1463 1672 1748 1771 2024 2128 2464 2576 2926 3059 3344 3496 3542 4048 4256 4807 5152 5852 6118 6688 6992 7084 8096 9614 11704 12236 13984 14168 19228 23408 24472 28336 33649 38456 46816 48944 56672 67298 76912 97888 134596 153824 269192 538384 1076768