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1126656 = 2833163
BaseRepresentation
bin100010011000100000000
32010020111000
410103010000
5242023111
640052000
712401466
oct4230400
92106430
101126656
116aa523
12464000
13305a7b
14214836
15173c56
hex113100

1126656 has 72 divisors (see below), whose sum is σ = 3352160. Its totient is φ = 373248.

The previous prime is 1126649. The next prime is 1126661. The reversal of 1126656 is 6566211.

It is a happy number.

1126656 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 656 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6831 + ... + 6993.

21126656 is an apocalyptic number.

1126656 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 1126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676080).

1126656 is an abundant number, since it is smaller than the sum of its proper divisors (2225504).

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

1126656 is an equidigital number, since it uses as much as digits as its factorization.

1126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1126656 is about 1061.4405305998. The cubic root of 1126656 is about 104.0551975234.

The spelling of 1126656 in words is "one million, one hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 163 192 216 256 288 326 384 432 489 576 652 768 864 978 1152 1304 1467 1728 1956 2304 2608 2934 3456 3912 4401 5216 5868 6912 7824 8802 10432 11736 15648 17604 20864 23472 31296 35208 41728 46944 62592 70416 93888 125184 140832 187776 281664 375552 563328 1126656