Search a number
-
+
1054410126 = 23731147991
BaseRepresentation
bin111110110110010…
…000010110001110
32201111001120202220
4332312100112032
54124412111001
6252343400210
735062224000
oct7666202616
92644046686
101054410126
114a1206a30
12255153066
1313a5aaa23
14a0072370
156287cc36
hex3ed9058e

1054410126 has 128 divisors (see below), whose sum is σ = 2742681600. Its totient is φ = 267775200.

The previous prime is 1054410113. The next prime is 1054410131. The reversal of 1054410126 is 6210144501.

It is a happy number.

It is a super-2 number, since 2×10544101262 = 2223561427622671752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054410096 and 1054410105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1063491 + ... + 1064481.

It is an arithmetic number, because the mean of its divisors is an integer number (21427200).

Almost surely, 21054410126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054410126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371340800).

1054410126 is an abundant number, since it is smaller than the sum of its proper divisors (1688271474).

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

1054410126 is a wasteful number, since it uses less digits than its factorization.

1054410126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1054410126 is about 32471.6819090111. The cubic root of 1054410126 is about 1017.8173647553.

Adding to 1054410126 its reverse (6210144501), we get a palindrome (7264554627).

The spelling of 1054410126 in words is "one billion, fifty-four million, four hundred ten thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 49 66 77 94 98 141 147 154 231 282 294 329 343 462 517 539 658 686 987 991 1029 1034 1078 1551 1617 1974 1982 2058 2303 2973 3102 3234 3619 3773 4606 5946 6909 6937 7238 7546 10857 10901 11319 13818 13874 16121 20811 21714 21802 22638 25333 32242 32703 41622 46577 48363 48559 50666 65406 75999 76307 93154 96726 97118 139731 145677 151998 152614 177331 228921 279462 291354 326039 339913 354662 457842 512347 531993 534149 652078 679826 978117 1019739 1024694 1063986 1068298 1537041 1602447 1956234 2039478 2282273 3074082 3204894 3586429 3739043 4564546 6846819 7172858 7478086 10759287 11217129 13693638 15975911 21518574 22434258 25105003 31951822 47927733 50210006 75315009 95855466 150630018 175735021 351470042 527205063 1054410126