Search a number
-
+
1041242020 = 2257131733307
BaseRepresentation
bin111110000100000…
…001011110100100
32200120021120112021
4332010001132210
54113024221040
6251153232524
734542261010
oct7604013644
92616246467
101041242020
114948325a5
12250862744
1313794a150
149c405540
156162b24a
hex3e1017a4

1041242020 has 96 divisors (see below), whose sum is σ = 2707584768. Its totient is φ = 327532032.

The previous prime is 1041242017. The next prime is 1041242021. The reversal of 1041242020 is 202421401.

It is a junction number, because it is equal to n+sod(n) for n = 1041241985 and 1041242003.

It is not an unprimeable number, because it can be changed into a prime (1041242021) 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 31 ways as a sum of consecutive naturals, for example, 313207 + ... + 316513.

It is an arithmetic number, because the mean of its divisors is an integer number (28204008).

Almost surely, 21041242020 is an apocalyptic number.

1041242020 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 1041242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353792384).

1041242020 is an abundant number, since it is smaller than the sum of its proper divisors (1666342748).

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

1041242020 is a wasteful number, since it uses less digits than its factorization.

1041242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1041242020 is about 32268.2819499272. The cubic root of 1041242020 is about 1013.5625652436.

Adding to 1041242020 its reverse (202421401), we get a palindrome (1243663421).

The spelling of 1041242020 in words is "one billion, forty-one million, two hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 173 182 260 346 364 455 692 865 910 1211 1730 1820 2249 2422 3307 3460 4498 4844 6055 6614 8996 11245 12110 13228 15743 16535 22490 23149 24220 31486 33070 42991 44980 46298 62972 66140 78715 85982 92596 115745 157430 171964 214955 231490 300937 314860 429910 462980 572111 601874 859820 1144222 1203748 1504685 2288444 2860555 3009370 4004777 5721110 6018740 7437443 8009554 11442220 14874886 16019108 20023885 29749772 37187215 40047770 52062101 74374430 80095540 104124202 148748860 208248404 260310505 520621010 1041242020