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1330080024 = 233713279593
BaseRepresentation
bin100111101000111…
…0110100100011000
310102200210001210010
41033101312210120
510211000030044
6335552121520
744650331220
oct11721664430
93380701703
101330080024
11622882899
123115362a0
1318273a500
14c8911080
157bb82bb9
hex4f476918

1330080024 has 192 divisors, whose sum is σ = 4174156800. Its totient is φ = 345765888.

The previous prime is 1330080001. The next prime is 1330080029. The reversal of 1330080024 is 4200800331.

It is a happy number.

It is a super-2 number, since 2×13300800242 = 3538225740487681152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330080029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2242672 + ... + 2243264.

It is an arithmetic number, because the mean of its divisors is an integer number (21740400).

Almost surely, 21330080024 is an apocalyptic number.

1330080024 is a gapful number since it is divisible by the number (14) 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 1330080024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087078400).

1330080024 is an abundant number, since it is smaller than the sum of its proper divisors (2844076776).

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

1330080024 is a wasteful number, since it uses less digits than its factorization.

1330080024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1330080024 is about 36470.2621871574. The cubic root of 1330080024 is about 1099.7465046718.

Adding to 1330080024 its reverse (4200800331), we get a palindrome (5530880355).

The spelling of 1330080024 in words is "one billion, three hundred thirty million, eighty thousand, twenty-four".