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1120220040 = 233541733119
BaseRepresentation
bin100001011000101…
…0011001110001000
32220001220002000010
41002301103032020
54243234020130
6303054111520
736521466432
oct10261231610
92801802003
101120220040
11525375995
122731ab5a0
1314b1102c4
14a8ac3652
156852c0b0
hex42c53388

1120220040 has 128 divisors (see below), whose sum is σ = 3490905600. Its totient is φ = 287354880.

The previous prime is 1120220039. The next prime is 1120220053. The reversal of 1120220040 is 400220211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1120219998 and 1120220025.

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, 357601 + ... + 360719.

It is an arithmetic number, because the mean of its divisors is an integer number (27272700).

Almost surely, 21120220040 is an apocalyptic number.

1120220040 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 1120220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745452800).

1120220040 is an abundant number, since it is smaller than the sum of its proper divisors (2370685560).

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

1120220040 is a wasteful number, since it uses less digits than its factorization.

1120220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1120220040 is about 33469.6883762009. The cubic root of 1120220040 is about 1038.5668252266.

Adding to 1120220040 its reverse (400220211), we get a palindrome (1520440251).

The spelling of 1120220040 in words is "one billion, one hundred twenty million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 73 82 120 123 146 164 205 219 246 292 328 365 410 438 492 584 615 730 820 876 984 1095 1230 1460 1640 1752 2190 2460 2920 2993 3119 4380 4920 5986 6238 8760 8979 9357 11972 12476 14965 15595 17958 18714 23944 24952 29930 31190 35916 37428 44895 46785 59860 62380 71832 74856 89790 93570 119720 124760 127879 179580 187140 227687 255758 359160 374280 383637 455374 511516 639395 683061 767274 910748 1023032 1138435 1278790 1366122 1534548 1821496 1918185 2276870 2557580 2732244 3069096 3415305 3836370 4553740 5115160 5464488 6830610 7672740 9107480 9335167 13661220 15345480 18670334 27322440 28005501 37340668 46675835 56011002 74681336 93351670 112022004 140027505 186703340 224044008 280055010 373406680 560110020 1120220040