Search a number
-
+
1541668068 = 2232319291487
BaseRepresentation
bin101101111100011…
…1111110011100100
310222102220212000100
41123320333303210
511124131334233
6412551144100
753126651043
oct13370776344
93872825010
101541668068
11721260046
12370375030
131b7521135
14108a6c55a
159052a813
hex5be3fce4

1541668068 has 72 divisors (see below), whose sum is σ = 4029742080. Its totient is φ = 496442880.

The previous prime is 1541668061. The next prime is 1541668097. The reversal of 1541668068 is 8608661451.

It is not an unprimeable number, because it can be changed into a prime (1541668061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036021 + ... + 1037507.

It is an arithmetic number, because the mean of its divisors is an integer number (55968640).

Almost surely, 21541668068 is an apocalyptic number.

1541668068 is a gapful number since it is divisible by the number (18) 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 1541668068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014871040).

1541668068 is an abundant number, since it is smaller than the sum of its proper divisors (2488074012).

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

1541668068 is a wasteful number, since it uses less digits than its factorization.

1541668068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1541668068 is about 39264.0811429479. The cubic root of 1541668068 is about 1155.2171447583.

The spelling of 1541668068 in words is "one billion, five hundred forty-one million, six hundred sixty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 929 1116 1487 1858 2787 2974 3716 4461 5574 5948 8361 8922 11148 13383 16722 17844 26766 28799 33444 46097 53532 57598 86397 92194 115196 138291 172794 184388 259191 276582 345588 414873 518382 553164 829746 1036764 1381423 1659492 2762846 4144269 5525692 8288538 12432807 16577076 24865614 42824113 49731228 85648226 128472339 171296452 256944678 385417017 513889356 770834034 1541668068