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1330233630 = 23511101107373
BaseRepresentation
bin100111101001001…
…1100000100011110
310102201001212111020
41033102130010132
510211014434010
6335555305010
744651541105
oct11722340436
93381055436
101330233630
11622978240
123115ab166
131827923bb
14c895103c
157bbb3470
hex4f49c11e

1330233630 has 128 divisors (see below), whose sum is σ = 3559666176. Its totient is φ = 315456000.

The previous prime is 1330233623. The next prime is 1330233631. The reversal of 1330233630 is 363320331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1330233630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330233631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3566124 + ... + 3566496.

It is an arithmetic number, because the mean of its divisors is an integer number (27809892).

Almost surely, 21330233630 is an apocalyptic number.

1330233630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330233630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779833088).

1330233630 is an abundant number, since it is smaller than the sum of its proper divisors (2229432546).

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

1330233630 is a wasteful number, since it uses less digits than its factorization.

1330233630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602.

The product of its (nonzero) digits is 2916, while the sum is 24.

The square root of 1330233630 is about 36472.3680338966. The cubic root of 1330233630 is about 1099.7888382548.

Adding to 1330233630 its reverse (363320331), we get a palindrome (1693553961).

The spelling of 1330233630 in words is "one billion, three hundred thirty million, two hundred thirty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 107 110 165 202 214 303 321 330 373 505 535 606 642 746 1010 1070 1111 1119 1177 1515 1605 1865 2222 2238 2354 3030 3210 3333 3531 3730 4103 5555 5595 5885 6666 7062 8206 10807 11110 11190 11770 12309 16665 17655 20515 21614 24618 32421 33330 35310 37673 39911 41030 54035 61545 64842 75346 79822 108070 113019 118877 119733 123090 162105 188365 199555 226038 237754 239466 324210 356631 376730 399110 414403 439021 565095 594385 598665 713262 828806 878042 1130190 1188770 1197330 1243209 1317063 1783155 2072015 2195105 2486418 2634126 3566310 4031011 4144030 4390210 6216045 6585315 8062022 12093033 12432090 13170630 20155055 24186066 40310110 44341121 60465165 88682242 120930330 133023363 221705605 266046726 443411210 665116815 1330233630