Search a number
-
+
1224096 = 25341311
BaseRepresentation
bin100101010110110100000
32022012010220
410222312200
5303132341
642123040
713255536
oct4526640
92265126
101224096
11766755
124b0480
1333b223
1423c156
15192a66
hex12ada0

1224096 has 48 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 396800.

The previous prime is 1224089. The next prime is 1224109. The reversal of 1224096 is 6904221.

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

It is a super-2 number, since 2×12240962 = 2996822034432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3781 + ... + 4091.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

21224096 is an apocalyptic number.

1224096 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 1224096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104).

1224096 is an abundant number, since it is smaller than the sum of its proper divisors (2078112).

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

1224096 is a wasteful number, since it uses less digits than its factorization.

1224096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1224096 is about 1106.3887201160. The cubic root of 1224096 is about 106.9724213432.

The spelling of 1224096 in words is "one million, two hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 311 328 492 622 656 933 984 1244 1312 1866 1968 2488 3732 3936 4976 7464 9952 12751 14928 25502 29856 38253 51004 76506 102008 153012 204016 306024 408032 612048 1224096