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1122368 = 26131971
BaseRepresentation
bin100010010000001000000
32010000121012
410102001000
5241403433
640020052
712353132
oct4220100
92100535
101122368
116a7285
12461628
13303b30
14213052
15172848
hex112040

1122368 has 56 divisors (see below), whose sum is σ = 2560320. Its totient is φ = 483840.

The previous prime is 1122367. The next prime is 1122371. The reversal of 1122368 is 8632211.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1122367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15773 + ... + 15843.

It is an arithmetic number, because the mean of its divisors is an integer number (45720).

21122368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280160).

1122368 is an abundant number, since it is smaller than the sum of its proper divisors (1437952).

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

1122368 is a wasteful number, since it uses less digits than its factorization.

1122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 1122368 is about 1059.4187085378. The cubic root of 1122368 is about 103.9230199571.

Adding to 1122368 its reverse (8632211), we get a palindrome (9754579).

The spelling of 1122368 in words is "one million, one hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 71 76 104 142 152 208 247 284 304 416 494 568 608 832 923 988 1136 1216 1349 1846 1976 2272 2698 3692 3952 4544 5396 7384 7904 10792 14768 15808 17537 21584 29536 35074 43168 59072 70148 86336 140296 280592 561184 1122368