Search a number
-
+
1041148080 = 24355721093
BaseRepresentation
bin111110000011101…
…010100010110000
32200120002210200000
4332003222202300
54113013214310
6251151230000
734541420100
oct7603524260
92616083600
101041148080
11494778a65
12250818300
1313791646b
149c3bd200
156160d4c0
hex3e0ea8b0

1041148080 has 360 divisors, whose sum is σ = 4221886032. Its totient is φ = 237758976.

The previous prime is 1041148057. The next prime is 1041148093. The reversal of 1041148080 is 808411401.

1041148080 is a `hidden beast` number, since 104 + 1 + 1 + 480 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 952014 + ... + 953106.

Almost surely, 21041148080 is an apocalyptic number.

1041148080 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 1041148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110943016).

1041148080 is an abundant number, since it is smaller than the sum of its proper divisors (3180737952).

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

1041148080 is a wasteful number, since it uses less digits than its factorization.

1041148080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1041148080 is about 32266.8263081450. The cubic root of 1041148080 is about 1013.5320833994.

Adding to 1041148080 its reverse (808411401), we get a palindrome (1849559481).

The spelling of 1041148080 in words is "one billion, forty-one million, one hundred forty-eight thousand, eighty".