Search a number
-
+
1332010320 = 243542113183
BaseRepresentation
bin100111101100100…
…1101110101010000
310102211102010122120
41033121031311100
510211443312240
6340101334240
745002621004
oct11731156520
93384363576
101332010320
11623981083
12312107380
13182c64cb4
14c8c94704
157be14ad0
hex4f64dd50

1332010320 has 80 divisors (see below), whose sum is σ = 4139354112. Its totient is φ = 354332160.

The previous prime is 1332010301. The next prime is 1332010327. The reversal of 1332010320 is 230102331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1332010320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332010327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94449 + ... + 107631.

Almost surely, 21332010320 is an apocalyptic number.

1332010320 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 1332010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069677056).

1332010320 is an abundant number, since it is smaller than the sum of its proper divisors (2807343792).

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

1332010320 is a wasteful number, since it uses less digits than its factorization.

1332010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13620 (or 13614 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1332010320 is about 36496.7165646446. The cubic root of 1332010320 is about 1100.2782546760.

Adding to 1332010320 its reverse (230102331), we get a palindrome (1562112651).

The spelling of 1332010320 in words is "one billion, three hundred thirty-two million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 421 842 1263 1684 2105 2526 3368 4210 5052 6315 6736 8420 10104 12630 13183 16840 20208 25260 26366 33680 39549 50520 52732 65915 79098 101040 105464 131830 158196 197745 210928 263660 316392 395490 527320 632784 790980 1054640 1581960 3163920 5550043 11100086 16650129 22200172 27750215 33300258 44400344 55500430 66600516 83250645 88800688 111000860 133201032 166501290 222001720 266402064 333002580 444003440 666005160 1332010320