Search a number
-
+
1320402150 = 2325219389397
BaseRepresentation
bin100111010110011…
…1011110011100110
310102000120101020100
41032230323303212
510201010332100
6335004444530
744502142644
oct11654736346
93360511210
101320402150
11618372751
1230a249746
1318072c462
14c7512194
157adc0400
hex4eb3bce6

1320402150 has 144 divisors (see below), whose sum is σ = 3753219600. Its totient is φ = 331879680.

The previous prime is 1320402133. The next prime is 1320402151. The reversal of 1320402150 is 512040231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320402151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3325752 + ... + 3326148.

It is an arithmetic number, because the mean of its divisors is an integer number (26064025).

Almost surely, 21320402150 is an apocalyptic number.

1320402150 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 1320402150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876609800).

1320402150 is an abundant number, since it is smaller than the sum of its proper divisors (2432817450).

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

1320402150 is a wasteful number, since it uses less digits than its factorization.

1320402150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1320402150 is about 36337.3382349340. The cubic root of 1320402150 is about 1097.0726989207.

Adding to 1320402150 its reverse (512040231), we get a palindrome (1832442381).

The spelling of 1320402150 in words is "one billion, three hundred twenty million, four hundred two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 389 397 450 475 570 778 794 855 950 1167 1191 1425 1710 1945 1985 2334 2382 2850 3501 3573 3890 3970 4275 5835 5955 7002 7146 7391 7543 8550 9725 9925 11670 11910 14782 15086 17505 17865 19450 19850 22173 22629 29175 29775 35010 35730 36955 37715 44346 45258 58350 59550 66519 67887 73910 75430 87525 89325 110865 113145 133038 135774 154433 175050 178650 184775 188575 221730 226290 308866 332595 339435 369550 377150 463299 554325 565725 665190 678870 772165 926598 1108650 1131450 1389897 1544330 1662975 1697175 2316495 2779794 2934227 3325950 3394350 3860825 4632990 5868454 6949485 7721650 8802681 11582475 13898970 14671135 17605362 23164950 26408043 29342270 34747425 44013405 52816086 69494850 73355675 88026810 132040215 146711350 220067025 264080430 440134050 660201075 1320402150