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1123332320 = 25511787811
BaseRepresentation
bin100001011110100…
…1011000011100000
32220021202012020202
41002331023003200
54300033113240
6303244524332
736560111225
oct10275130340
92807665222
101123332320
11527101220
122742506a8
1314b95caa6
14a929394c
1568944315
hex42f4b0e0

1123332320 has 96 divisors (see below), whose sum is σ = 2902386816. Its totient is φ = 407462400.

The previous prime is 1123332319. The next prime is 1123332323. The reversal of 1123332320 is 232333211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1123332292 and 1123332301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123332323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384715 + ... + 1385525.

It is an arithmetic number, because the mean of its divisors is an integer number (30233196).

Almost surely, 21123332320 is an apocalyptic number.

1123332320 is a gapful number since it is divisible by the number (10) 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 1123332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451193408).

1123332320 is an abundant number, since it is smaller than the sum of its proper divisors (1779054496).

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

1123332320 is a wasteful number, since it uses less digits than its factorization.

1123332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1123332320 is about 33516.1501369116. The cubic root of 1123332320 is about 1039.5277441647.

Adding to 1123332320 its reverse (232333211), we get a palindrome (1355665531).

The spelling of 1123332320 in words is "one billion, one hundred twenty-three million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 787 811 880 1574 1622 1760 3148 3244 3935 4055 6296 6488 7870 8110 8657 8921 12592 12976 15740 16220 17314 17842 25184 25952 31480 32440 34628 35684 43285 44605 62960 64880 69256 71368 86570 89210 125920 129760 138512 142736 173140 178420 277024 285472 346280 356840 638257 692560 713680 1276514 1385120 1427360 2553028 3191285 5106056 6382570 7020827 10212112 12765140 14041654 20424224 25530280 28083308 35104135 51060560 56166616 70208270 102121120 112333232 140416540 224666464 280833080 561666160 1123332320