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1120808070 = 233537151743
BaseRepresentation
bin100001011001110…
…0010110010000110
32220002222221122000
41002303202302012
54243411324240
6303114450130
736526466004
oct10263426206
92802887560
101120808070
11525737768
12273433946
1314b287b55
14a8bd7a74
15685e6430
hex42ce2c86

1120808070 has 128 divisors (see below), whose sum is σ = 3094087680. Its totient is φ = 288489600.

The previous prime is 1120808047. The next prime is 1120808077. The reversal of 1120808070 is 708080211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120808077) 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 63 ways as a sum of consecutive naturals, for example, 1508119 + ... + 1508861.

It is an arithmetic number, because the mean of its divisors is an integer number (24172560).

Almost surely, 21120808070 is an apocalyptic number.

1120808070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120808070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547043840).

1120808070 is an abundant number, since it is smaller than the sum of its proper divisors (1973279610).

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

1120808070 is a wasteful number, since it uses less digits than its factorization.

1120808070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1120808070 is about 33478.4717393133. The cubic root of 1120808070 is about 1038.7485162043.

Adding to 1120808070 its reverse (708080211), we get a palindrome (1828888281).

The spelling of 1120808070 in words is "one billion, one hundred twenty million, eight hundred eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 151 185 222 270 302 333 370 453 555 666 743 755 906 999 1110 1359 1486 1510 1665 1998 2229 2265 2718 3330 3715 4077 4458 4530 4995 5587 6687 6795 7430 8154 9990 11145 11174 13374 13590 16761 20061 20385 22290 27491 27935 33435 33522 40122 40770 50283 54982 55870 66870 82473 83805 100305 100566 112193 137455 150849 164946 167610 200610 224386 247419 251415 274910 301698 336579 412365 494838 502830 560965 673158 742257 754245 824730 1009737 1121930 1237095 1484514 1508490 1682895 2019474 2474190 3029211 3365790 3711285 4151141 5048685 6058422 7422570 8302282 10097370 12453423 15146055 20755705 24906846 30292110 37360269 41511410 62267115 74720538 112080807 124534230 186801345 224161614 373602690 560404035 1120808070