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1120896 = 27327139
BaseRepresentation
bin100010001101010000000
32002221120200
410101222000
5241332041
640005200
712345630
oct4215200
92087520
101120896
116a6167
12460800
1330326a
142126c0
151721b6
hex111a80

1120896 has 96 divisors (see below), whose sum is σ = 3712800. Its totient is φ = 317952.

The previous prime is 1120883. The next prime is 1120901. The reversal of 1120896 is 6980211.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7995 + ... + 8133.

It is an arithmetic number, because the mean of its divisors is an integer number (38675).

21120896 is an apocalyptic number.

1120896 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 1120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856400).

1120896 is an abundant number, since it is smaller than the sum of its proper divisors (2591904).

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

1120896 is a wasteful number, since it uses less digits than its factorization.

1120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1120896 is about 1058.7237600054. The cubic root of 1120896 is about 103.8775679573.

It can be divided in two parts, 1120 and 896, that added together give a triangular number (2016 = T63).

The spelling of 1120896 in words is "one million, one hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 139 144 168 192 224 252 278 288 336 384 417 448 504 556 576 672 834 896 973 1008 1112 1152 1251 1344 1668 1946 2016 2224 2502 2688 2919 3336 3892 4032 4448 5004 5838 6672 7784 8064 8757 8896 10008 11676 13344 15568 17514 17792 20016 23352 26688 31136 35028 40032 46704 53376 62272 70056 80064 93408 124544 140112 160128 186816 280224 373632 560448 1120896