Search a number
-
+
1330464720 = 2435134347211
BaseRepresentation
bin100111101001101…
…0100011111010000
310102201111121111010
41033103110133100
510211044332340
6340004250520
744653522614
oct11723243720
93381447433
101330464720
11623015922
123116a0a40
13182843640
14c89b1344
157bc0bb80
hex4f4d47d0

1330464720 has 320 divisors, whose sum is σ = 4663701504. Its totient is φ = 311592960.

The previous prime is 1330464713. The next prime is 1330464731. The reversal of 1330464720 is 274640331.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6305415 + ... + 6305625.

Almost surely, 21330464720 is an apocalyptic number.

1330464720 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 1330464720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331850752).

1330464720 is an abundant number, since it is smaller than the sum of its proper divisors (3333236784).

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

1330464720 is a wasteful number, since it uses less digits than its factorization.

1330464720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 1330464720 is about 36475.5359110733. The cubic root of 1330464720 is about 1099.8525201728.

The spelling of 1330464720 in words is "one billion, three hundred thirty million, four hundred sixty-four thousand, seven hundred twenty".