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1330003260 = 2233510092441
BaseRepresentation
bin100111101000110…
…0011110100111100
310102200122011111000
41033101203310330
510210440101020
6335550330300
744646561345
oct11721436474
93380564430
101330003260
11622830153
123114b9990
131827115a1
14c88d10cc
157bb6a090
hex4f463d3c

1330003260 has 96 divisors (see below), whose sum is σ = 4143585600. Its totient is φ = 354170880.

The previous prime is 1330003237. The next prime is 1330003271. The reversal of 1330003260 is 623000331.

It is a happy number.

It is a super-2 number, since 2×13300032602 = 3537817343221255200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 543640 + ... + 546080.

It is an arithmetic number, because the mean of its divisors is an integer number (43162350).

Almost surely, 21330003260 is an apocalyptic number.

1330003260 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 1330003260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071792800).

1330003260 is an abundant number, since it is smaller than the sum of its proper divisors (2813582340).

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

1330003260 is a wasteful number, since it uses less digits than its factorization.

1330003260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1330003260 is about 36469.2097528861. The cubic root of 1330003260 is about 1099.7253474073.

Adding to 1330003260 its reverse (623000331), we get a palindrome (1953003591).

The spelling of 1330003260 in words is "one billion, three hundred thirty million, three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1009 2018 2441 3027 4036 4882 5045 6054 7323 9081 9764 10090 12108 12205 14646 15135 18162 20180 21969 24410 27243 29292 30270 36324 36615 43938 45405 48820 54486 60540 65907 73230 87876 90810 108972 109845 131814 136215 146460 181620 219690 263628 272430 329535 439380 544860 659070 1318140 2462969 4925938 7388907 9851876 12314845 14777814 22166721 24629690 29555628 36944535 44333442 49259380 66500163 73889070 88666884 110833605 133000326 147778140 221667210 266000652 332500815 443334420 665001630 1330003260