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1120608 = 25331297
BaseRepresentation
bin100010001100101100000
32002221012000
410101211200
5241324413
640004000
712345036
oct4214540
92087160
101120608
116a5a25
12460600
133030a8
14212556
15172073
hex111960

1120608 has 48 divisors (see below), whose sum is σ = 3270960. Its totient is φ = 373248.

The previous prime is 1120607. The next prime is 1120627. The reversal of 1120608 is 8060211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120607) 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 7 ways as a sum of consecutive naturals, for example, 216 + ... + 1512.

It is an arithmetic number, because the mean of its divisors is an integer number (68145).

21120608 is an apocalyptic number.

1120608 is a gapful number since it is divisible by the number (18) 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 1120608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635480).

1120608 is an abundant number, since it is smaller than the sum of its proper divisors (2150352).

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

1120608 is a wasteful number, since it uses less digits than its factorization.

1120608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1120608 is about 1058.5877384516. The cubic root of 1120608 is about 103.8686705210.

Adding to 1120608 its reverse (8060211), we get a palindrome (9180819).

It can be divided in two parts, 1120 and 608, that added together give a cube (1728 = 123).

The spelling of 1120608 in words is "one million, one hundred twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1297 2594 3891 5188 7782 10376 11673 15564 20752 23346 31128 35019 41504 46692 62256 70038 93384 124512 140076 186768 280152 373536 560304 1120608