Search a number
-
+
1104141420 = 2232537193859
BaseRepresentation
bin100000111001111…
…1101110001101100
32211221122012021200
41001303331301230
54230130011140
6301321325500
736235022124
oct10163756154
92757565250
101104141420
11517293878
12269936890
131479a0a25
14a68d9c84
1566e03030
hex41cfdc6c

1104141420 has 144 divisors (see below), whose sum is σ = 3461596320. Its totient is φ = 284663808.

The previous prime is 1104141413. The next prime is 1104141443. The reversal of 1104141420 is 241414011.

1104141420 is a `hidden beast` number, since 1 + 104 + 141 + 420 = 666.

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 = 1104141393 and 1104141402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284951 + ... + 1285809.

Almost surely, 21104141420 is an apocalyptic number.

1104141420 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 1104141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730798160).

1104141420 is an abundant number, since it is smaller than the sum of its proper divisors (2357454900).

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

1104141420 is a wasteful number, since it uses less digits than its factorization.

1104141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1104141420 is about 33228.6235044427. The cubic root of 1104141420 is about 1033.5739795642.

Adding to 1104141420 its reverse (241414011), we get a palindrome (1345555431).

The spelling of 1104141420 in words is "one billion, one hundred four million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 193 222 333 370 386 444 555 579 666 740 772 859 965 1110 1158 1332 1665 1718 1737 1930 2220 2316 2577 2895 3330 3436 3474 3860 4295 5154 5790 6660 6948 7141 7731 8590 8685 10308 11580 12885 14282 15462 17180 17370 21423 25770 28564 30924 31783 34740 35705 38655 42846 51540 63566 64269 71410 77310 85692 95349 107115 127132 128538 142820 154620 158915 165787 190698 214230 257076 286047 317830 321345 331574 381396 428460 476745 497361 572094 635660 642690 663148 828935 953490 994722 1144188 1285380 1430235 1492083 1657870 1906980 1989444 2486805 2860470 2984166 3315740 4973610 5720940 5968332 6134119 7460415 9947220 12268238 14920830 18402357 24536476 29841660 30670595 36804714 55207071 61341190 73609428 92011785 110414142 122682380 184023570 220828284 276035355 368047140 552070710 1104141420