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1126944 = 253271343
BaseRepresentation
bin100010011001000100000
32010020212200
410103020200
5242030234
640053200
712402360
oct4231040
92106780
101126944
116aa765
12464200
13305c40
142149a0
15173d99
hex113220

1126944 has 144 divisors (see below), whose sum is σ = 4036032. Its totient is φ = 290304.

The previous prime is 1126897. The next prime is 1126963. The reversal of 1126944 is 4496211.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26187 + ... + 26229.

It is an arithmetic number, because the mean of its divisors is an integer number (28028).

21126944 is an apocalyptic number.

1126944 is a gapful number since it is divisible by the number (14) 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 1126944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018016).

1126944 is an abundant number, since it is smaller than the sum of its proper divisors (2909088).

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

1126944 is a wasteful number, since it uses less digits than its factorization.

1126944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 68 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1126944 is about 1061.5761866206. The cubic root of 1126944 is about 104.0640630937.

It can be divided in two parts, 112 and 6944, that added together give a square (7056 = 842).

The spelling of 1126944 in words is "one million, one hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 43 48 52 56 63 72 78 84 86 91 96 104 112 117 126 129 144 156 168 172 182 208 224 234 252 258 273 288 301 312 336 344 364 387 416 468 504 516 546 559 602 624 672 688 728 774 819 903 936 1008 1032 1092 1118 1204 1248 1376 1456 1548 1638 1677 1806 1872 2016 2064 2184 2236 2408 2709 2912 3096 3276 3354 3612 3744 3913 4128 4368 4472 4816 5031 5418 6192 6552 6708 7224 7826 8736 8944 9632 10062 10836 11739 12384 13104 13416 14448 15652 17888 20124 21672 23478 26208 26832 28896 31304 35217 40248 43344 46956 53664 62608 70434 80496 86688 93912 125216 140868 160992 187824 281736 375648 563472 1126944