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1120760340 = 2235723710303
BaseRepresentation
bin100001011001101…
…0111001000010100
32220002220112011020
41002303113020110
54243403312330
6303113441140
736526206600
oct10263271024
92802815136
101120760340
11525704917
122734101b0
1314b26c1cb
14a8bc4500
15685d7210
hex42cd7214

1120760340 has 144 divisors (see below), whose sum is σ = 3749501952. Its totient is φ = 249225984.

The previous prime is 1120760339. The next prime is 1120760387. The reversal of 1120760340 is 430670211.

It is a super-2 number, since 2×11207603402 = 2512207479433831200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1120760340.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 103629 + ... + 113931.

It is an arithmetic number, because the mean of its divisors is an integer number (26038208).

Almost surely, 21120760340 is an apocalyptic number.

1120760340 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 1120760340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874750976).

1120760340 is an abundant number, since it is smaller than the sum of its proper divisors (2628741612).

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

1120760340 is a wasteful number, since it uses less digits than its factorization.

1120760340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366 (or 10357 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1120760340 is about 33477.7588855646. The cubic root of 1120760340 is about 1038.7337708398.

The spelling of 1120760340 in words is "one billion, one hundred twenty million, seven hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 49 60 70 74 84 98 105 111 140 147 148 185 196 210 222 245 259 294 370 420 444 490 518 555 588 735 740 777 980 1036 1110 1295 1470 1554 1813 2220 2590 2940 3108 3626 3885 5180 5439 7252 7770 9065 10303 10878 15540 18130 20606 21756 27195 30909 36260 41212 51515 54390 61818 72121 103030 108780 123636 144242 154545 206060 216363 288484 309090 360605 381211 432726 504847 618180 721210 762422 865452 1009694 1081815 1143633 1442420 1514541 1524844 1906055 2019388 2163630 2287266 2524235 2668477 3029082 3812110 4327260 4574532 5048470 5336954 5718165 6058164 7572705 7624220 8005431 10096940 10673908 11436330 13342385 15145410 16010862 18679339 22872660 26684770 30290820 32021724 37358678 40027155 53369540 56038017 74717356 80054310 93396695 112076034 160108620 186793390 224152068 280190085 373586780 560380170 1120760340