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1123864 = 23724761
BaseRepresentation
bin100010010011000011000
32010002122121
410102120120
5241430424
640031024
712360400
oct4223030
92102577
101123864
116a8415
12462474
13304711
14213800
15172ee4
hex112618

1123864 has 48 divisors (see below), whose sum is σ = 2544480. Its totient is φ = 463680.

The previous prime is 1123841. The next prime is 1123867. The reversal of 1123864 is 4683211.

Its product of digits (1152) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123867) 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 11 ways as a sum of consecutive naturals, for example, 18394 + ... + 18454.

It is an arithmetic number, because the mean of its divisors is an integer number (53010).

21123864 is an apocalyptic number.

1123864 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 1123864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272240).

1123864 is an abundant number, since it is smaller than the sum of its proper divisors (1420616).

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

1123864 is a wasteful number, since it uses less digits than its factorization.

1123864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 1123864 is about 1060.1245209880. The cubic root of 1123864 is about 103.9691723225.

The spelling of 1123864 in words is "one million, one hundred twenty-three thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 47 49 56 61 94 98 122 188 196 244 329 376 392 427 488 658 854 1316 1708 2303 2632 2867 2989 3416 4606 5734 5978 9212 11468 11956 18424 20069 22936 23912 40138 80276 140483 160552 280966 561932 1123864