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1150104420 = 223552310289
BaseRepresentation
bin100010010001101…
…0011001101100100
32222011010100200000
41010203103031210
54323411320140
6310042421300
740333504053
oct10443231544
92864110600
101150104420
11540227523
12281201830
1315437477a
14aca6239a
156ae81a30
hex448d3364

1150104420 has 144 divisors (see below), whose sum is σ = 3775524480. Its totient is φ = 293331456.

The previous prime is 1150104401. The next prime is 1150104421. The reversal of 1150104420 is 244010511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1150104393 and 1150104402.

It is not an unprimeable number, because it can be changed into a prime (1150104421) 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 47 ways as a sum of consecutive naturals, for example, 106636 + ... + 116924.

It is an arithmetic number, because the mean of its divisors is an integer number (26218920).

Almost surely, 21150104420 is an apocalyptic number.

1150104420 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 1150104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887762240).

1150104420 is an abundant number, since it is smaller than the sum of its proper divisors (2625420060).

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

1150104420 is a wasteful number, since it uses less digits than its factorization.

1150104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336 (or 10322 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1150104420 is about 33913.1894695854. The cubic root of 1150104420 is about 1047.7212622824.

Adding to 1150104420 its reverse (244010511), we get a palindrome (1394114931).

It can be divided in two parts, 1150 and 104420, that added together give a triangular number (105570 = T459).

The spelling of 1150104420 in words is "one billion, one hundred fifty million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 243 270 276 324 345 405 414 460 486 540 621 690 810 828 972 1035 1215 1242 1380 1620 1863 2070 2430 2484 3105 3726 4140 4860 5589 6210 7452 9315 10289 11178 12420 18630 20578 22356 27945 30867 37260 41156 51445 55890 61734 92601 102890 111780 123468 154335 185202 205780 236647 277803 308670 370404 463005 473294 555606 617340 709941 833409 926010 946588 1111212 1183235 1389015 1419882 1666818 1852020 2129823 2366470 2500227 2778030 2839764 3333636 3549705 4167045 4259646 4732940 5000454 5556060 6389469 7099410 8334090 8519292 10000908 10649115 12501135 12778938 14198820 16668180 19168407 21298230 25002270 25557876 31947345 38336814 42596460 50004540 57505221 63894690 76673628 95842035 115010442 127789380 191684070 230020884 287526105 383368140 575052210 1150104420