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1330706104 = 237132118663
BaseRepresentation
bin100111101010000…
…1111011010111000
310102201221212121021
41033110033122320
510211130043404
6340013352224
744655546430
oct11724173270
93381855537
101330706104
11623170212
12311798674
131828c9480
14c8a352c0
157bc58454
hex4f50f6b8

1330706104 has 64 divisors (see below), whose sum is σ = 3085770240. Its totient is φ = 523877760.

The previous prime is 1330706089. The next prime is 1330706137. The reversal of 1330706104 is 4016070331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149277 + ... + 157939.

It is an arithmetic number, because the mean of its divisors is an integer number (48215160).

Almost surely, 21330706104 is an apocalyptic number.

1330706104 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 1330706104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542885120).

1330706104 is an abundant number, since it is smaller than the sum of its proper divisors (1755064136).

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

1330706104 is a wasteful number, since it uses less digits than its factorization.

1330706104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8900 (or 8896 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 1330706104 is about 36478.8446088963. The cubic root of 1330706104 is about 1099.9190309548.

Adding to 1330706104 its reverse (4016070331), we get a palindrome (5346776435).

The spelling of 1330706104 in words is "one billion, three hundred thirty million, seven hundred six thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 211 364 422 728 844 1477 1688 2743 2954 5486 5908 8663 10972 11816 17326 19201 21944 34652 38402 60641 69304 76804 112619 121282 153608 225238 242564 450476 485128 788333 900952 1576666 1827893 3153332 3655786 6306664 7311572 12795251 14623144 23762609 25590502 47525218 51181004 95050436 102362008 166338263 190100872 332676526 665353052 1330706104