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1120304040 = 233531614937
BaseRepresentation
bin100001011000110…
…0111101110101000
32220002001100020020
41002301213232220
54243244212130
6303100000440
736522266352
oct10261475650
92802040206
101120304040
11525423009
12273230120
1314b13c5cb
14a8b060d2
1568546e10
hex42c67ba8

1120304040 has 128 divisors (see below), whose sum is σ = 3526917120. Its totient is φ = 284313600.

The previous prime is 1120304039. The next prime is 1120304057. The reversal of 1120304040 is 404030211.

It is a super-2 number, since 2×11203040402 = 2510162284080643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224452 + ... + 229388.

It is an arithmetic number, because the mean of its divisors is an integer number (27554040).

Almost surely, 21120304040 is an apocalyptic number.

1120304040 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 1120304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763458560).

1120304040 is an abundant number, since it is smaller than the sum of its proper divisors (2406613080).

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

1120304040 is a wasteful number, since it uses less digits than its factorization.

1120304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1120304040 is about 33470.9432194553. The cubic root of 1120304040 is about 1038.5927836483.

Adding to 1120304040 its reverse (404030211), we get a palindrome (1524334251).

The spelling of 1120304040 in words is "one billion, one hundred twenty million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 61 62 93 120 122 124 155 183 186 244 248 305 310 366 372 465 488 610 620 732 744 915 930 1220 1240 1464 1830 1860 1891 2440 3660 3720 3782 4937 5673 7320 7564 9455 9874 11346 14811 15128 18910 19748 22692 24685 28365 29622 37820 39496 45384 49370 56730 59244 74055 75640 98740 113460 118488 148110 153047 197480 226920 296220 301157 306094 459141 592440 602314 612188 765235 903471 918282 1204628 1224376 1505785 1530470 1806942 1836564 2295705 2409256 3011570 3060940 3613884 3673128 4517355 4591410 6023140 6121880 7227768 9034710 9182820 9335867 12046280 18069420 18365640 18671734 28007601 36138840 37343468 46679335 56015202 74686936 93358670 112030404 140038005 186717340 224060808 280076010 373434680 560152020 1120304040