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1120513380 = 2235721273001
BaseRepresentation
bin100001011001001…
…1010110101100100
32220002102222101120
41002302122311210
54243322412010
6303104253540
736524130600
oct10262326544
92802388346
101120513380
11525556318
122733112b0
1314b1b398c
14a8b5c500
1568588e70
hex42c9ad64

1120513380 has 144 divisors (see below), whose sum is σ = 3679635456. Its totient is φ = 254016000.

The previous prime is 1120513349. The next prime is 1120513399. The reversal of 1120513380 is 833150211.

It is a self number, because there is not a number n which added to its sum of digits gives 1120513380.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371880 + ... + 374880.

It is an arithmetic number, because the mean of its divisors is an integer number (25553024).

Almost surely, 21120513380 is an apocalyptic number.

1120513380 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 1120513380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839817728).

1120513380 is an abundant number, since it is smaller than the sum of its proper divisors (2559122076).

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

1120513380 is a wasteful number, since it uses less digits than its factorization.

1120513380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1120513380 is about 33474.0702634143. The cubic root of 1120513380 is about 1038.6574700979.

Adding to 1120513380 its reverse (833150211), we get a palindrome (1953663591).

The spelling of 1120513380 in words is "one billion, one hundred twenty million, five hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 127 140 147 196 210 245 254 294 381 420 490 508 588 635 735 762 889 980 1270 1470 1524 1778 1905 2540 2667 2940 3001 3556 3810 4445 5334 6002 6223 7620 8890 9003 10668 12004 12446 13335 15005 17780 18006 18669 21007 24892 26670 30010 31115 36012 37338 42014 45015 53340 60020 62230 63021 74676 84028 90030 93345 105035 124460 126042 147049 180060 186690 210070 252084 294098 315105 373380 381127 420140 441147 588196 630210 735245 762254 882294 1143381 1260420 1470490 1524508 1764588 1905635 2205735 2286762 2667889 2940980 3811270 4411470 4573524 5335778 5716905 7622540 8003667 8822940 10671556 11433810 13339445 16007334 18675223 22867620 26678890 32014668 37350446 40018335 53357780 56025669 74700892 80036670 93376115 112051338 160073340 186752230 224102676 280128345 373504460 560256690 1120513380