Search a number
-
+
730239640 = 235132415827
BaseRepresentation
bin101011100001101…
…001001010011000
31212220002000110121
4223201221022120
52443420132030
6200243323024
724044635354
oct5341511230
91786060417
10730239640
11345223939
12184680474
13b8399480
146cdaa464
154419747a
hex2b869298

730239640 has 64 divisors (see below), whose sum is σ = 1777073760. Its totient is φ = 268462080.

The previous prime is 730239623. The next prime is 730239647. The reversal of 730239640 is 46932037.

It is a junction number, because it is equal to n+sod(n) for n = 730239596 and 730239605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730239647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122407 + ... + 128233.

Almost surely, 2730239640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730239640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888536880).

730239640 is an abundant number, since it is smaller than the sum of its proper divisors (1046834120).

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

730239640 is a wasteful number, since it uses less digits than its factorization.

730239640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 730239640 is about 27022.9465454824. The cubic root of 730239640 is about 900.5098510320.

The spelling of 730239640 in words is "seven hundred thirty million, two hundred thirty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 241 260 482 520 964 1205 1928 2410 3133 4820 5827 6266 9640 11654 12532 15665 23308 25064 29135 31330 46616 58270 62660 75751 116540 125320 151502 233080 303004 378755 606008 757510 1404307 1515020 2808614 3030040 5617228 7021535 11234456 14043070 18255991 28086140 36511982 56172280 73023964 91279955 146047928 182559910 365119820 730239640