Search a number
-
+
1330430420 = 2251119930389
BaseRepresentation
bin100111101001100…
…1100000111010100
310102201102212102202
41033103030013110
510211042233140
6340003424032
744653320614
oct11723140724
93381385382
101330430420
11622aa2080
12311685018
13182830b47
14c89a2a44
157bc01915
hex4f4cc1d4

1330430420 has 48 divisors (see below), whose sum is σ = 3063312000. Its totient is φ = 481345920.

The previous prime is 1330430411. The next prime is 1330430501. The reversal of 1330430420 is 240340331.

It is a super-2 number, since 2×13304304202 = 3540090204922752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1330430392 and 1330430401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28586 + ... + 58974.

It is an arithmetic number, because the mean of its divisors is an integer number (63819000).

Almost surely, 21330430420 is an apocalyptic number.

1330430420 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 1330430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531656000).

1330430420 is an abundant number, since it is smaller than the sum of its proper divisors (1732881580).

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

1330430420 is a wasteful number, since it uses less digits than its factorization.

1330430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30608 (or 30606 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1330430420 is about 36475.0657298928. The cubic root of 1330430420 is about 1099.8430685215.

Adding to 1330430420 its reverse (240340331), we get a palindrome (1570770751).

The spelling of 1330430420 in words is "one billion, three hundred thirty million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3980 4378 8756 10945 21890 30389 43780 60778 121556 151945 303890 334279 607780 668558 1337116 1671395 3342790 6047411 6685580 12094822 24189644 30237055 60474110 66521521 120948220 133043042 266086084 332607605 665215210 1330430420