Search a number
-
+
1042030080 = 29325721371
BaseRepresentation
bin111110000111000…
…001111000000000
32200121202121112200
4332013001320000
54113224430310
6251222153200
734552052400
oct7607017000
92617677480
101042030080
11495220693
12250b82800
13137b64a60
149c56c800
15617349c0
hex3e1c1e00

1042030080 has 720 divisors, whose sum is σ = 4584644064. Its totient is φ = 216760320.

The previous prime is 1042030049. The next prime is 1042030103. The reversal of 1042030080 is 800302401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

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, 14676445 + ... + 14676515.

Almost surely, 21042030080 is an apocalyptic number.

1042030080 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 1042030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292322032).

1042030080 is an abundant number, since it is smaller than the sum of its proper divisors (3542613984).

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

1042030080 is a wasteful number, since it uses less digits than its factorization.

1042030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1042030080 is about 32280.4907025900. The cubic root of 1042030080 is about 1013.8182043984.

Adding to 1042030080 its reverse (800302401), we get a palindrome (1842332481).

The spelling of 1042030080 in words is "one billion, forty-two million, thirty thousand, eighty".