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1329090630 = 235713148313
BaseRepresentation
bin100111100111000…
…0101000001000110
310102121220210120220
41033032011001012
510210221400010
6335515005210
744636040540
oct11716050106
93377823526
101329090630
1162226750a
12311139806
1318248207a
14c8734690
157ba39970
hex4f385046

1329090630 has 64 divisors (see below), whose sum is σ = 3673410048. Its totient is φ = 301466880.

The previous prime is 1329090629. The next prime is 1329090671. The reversal of 1329090630 is 360909231.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1329090591 and 1329090600.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3354 + ... + 51666.

It is an arithmetic number, because the mean of its divisors is an integer number (57397032).

Almost surely, 21329090630 is an apocalyptic number.

1329090630 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 1329090630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836705024).

1329090630 is an abundant number, since it is smaller than the sum of its proper divisors (2344319418).

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

1329090630 is a wasteful number, since it uses less digits than its factorization.

1329090630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48461.

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 1329090630 is about 36456.6952698678. The cubic root of 1329090630 is about 1099.4737510332.

Adding to 1329090630 its reverse (360909231), we get a palindrome (1689999861).

The spelling of 1329090630 in words is "one billion, three hundred twenty-nine million, ninety thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 131 210 262 393 655 786 917 1310 1834 1965 2751 3930 4585 5502 9170 13755 27510 48313 96626 144939 241565 289878 338191 483130 676382 724695 1014573 1449390 1690955 2029146 3381910 5072865 6329003 10145730 12658006 18987009 31645015 37974018 44303021 63290030 88606042 94935045 132909063 189870090 221515105 265818126 443030210 664545315 1329090630