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1330200320 = 2853728087
BaseRepresentation
bin100111101001001…
…0011111100000000
310102201000011210112
41033102103330000
510211012402240
6335554450452
744651342021
oct11722237400
93381004715
101330200320
11622955209
12311593a28
131827801a7
14c8942c48
157bba8665
hex4f493f00

1330200320 has 72 divisors (see below), whose sum is σ = 3272476704. Its totient is φ = 517681152.

The previous prime is 1330200301. The next prime is 1330200323. The reversal of 1330200320 is 230020331.

It is a junction number, because it is equal to n+sod(n) for n = 1330200295 and 1330200304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330200323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33317 + ... + 61403.

Almost surely, 21330200320 is an apocalyptic number.

1330200320 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 1330200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636238352).

1330200320 is an abundant number, since it is smaller than the sum of its proper divisors (1942276384).

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

1330200320 is an equidigital number, since it uses as much as digits as its factorization.

1330200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28145 (or 28131 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1330200320 is about 36471.9113839678. The cubic root of 1330200320 is about 1099.7796583455.

Adding to 1330200320 its reverse (230020331), we get a palindrome (1560220651).

The spelling of 1330200320 in words is "one billion, three hundred thirty million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 640 740 1184 1280 1480 2368 2960 4736 5920 9472 11840 23680 28087 47360 56174 112348 140435 224696 280870 449392 561740 898784 1039219 1123480 1797568 2078438 2246960 3595136 4156876 4493920 5196095 7190272 8313752 8987840 10392190 16627504 17975680 20784380 33255008 35951360 41568760 66510016 83137520 133020032 166275040 266040064 332550080 665100160 1330200320