[go: up one dir, main page]

Search a number
-
+
1380188112 = 243175093323
BaseRepresentation
bin101001001000011…
…1111111111010000
310120012001211011020
41102100333333100
510311312004422
6344542115440
746126256022
oct12220777720
93505054136
101380188112
11649097836
1232627bb80
1318cc32b74
14d1436012
158127e95c
hex5243ffd0

1380188112 has 80 divisors (see below), whose sum is σ = 3783775680. Its totient is φ = 432019456.

The previous prime is 1380188111. The next prime is 1380188113. The reversal of 1380188112 is 2118810831.

It is an interprime number because it is at equal distance from previous prime (1380188111) and next prime (1380188113).

It is a super-2 number, since 2×13801881122 = 3809838449012249088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380188111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413683 + ... + 417005.

It is an arithmetic number, because the mean of its divisors is an integer number (47297196).

Almost surely, 21380188112 is an apocalyptic number.

1380188112 is a gapful number since it is divisible by the number (12) 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 1380188112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891887840).

1380188112 is an abundant number, since it is smaller than the sum of its proper divisors (2403587568).

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

1380188112 is a wasteful number, since it uses less digits than its factorization.

1380188112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 1380188112 is about 37150.8830581455. The cubic root of 1380188112 is about 1113.3868666415.

Adding to 1380188112 its reverse (2118810831), we get a palindrome (3498998943).

The spelling of 1380188112 in words is "one billion, three hundred eighty million, one hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 509 816 1018 1527 2036 3054 3323 4072 6108 6646 8144 8653 9969 12216 13292 17306 19938 24432 25959 26584 34612 39876 51918 53168 56491 69224 79752 103836 112982 138448 159504 169473 207672 225964 338946 415344 451928 677892 903856 1355784 1691407 2711568 3382814 5074221 6765628 10148442 13531256 20296884 27062512 28753919 40593768 57507838 81187536 86261757 115015676 172523514 230031352 345047028 460062704 690094056 1380188112