Search a number
-
+
1380001518 = 2327233115361
BaseRepresentation
bin101001001000001…
…0010011011101110
310120011201100012100
41102100102123232
510311240022033
6344534115530
746124551020
oct12220223356
93504640170
101380001518
11648a7a625
123261abba6
1318cb98c5c
14d13c8010
1581244513
hex524126ee

1380001518 has 96 divisors (see below), whose sum is σ = 3680980992. Its totient is φ = 364953600.

The previous prime is 1380001501. The next prime is 1380001523. The reversal of 1380001518 is 8151000831.

1380001518 is a modest number, since divided by 1518 gives 1380 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1380001491 and 1380001500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82158 + ... + 97518.

It is an arithmetic number, because the mean of its divisors is an integer number (38343552).

Almost surely, 21380001518 is an apocalyptic number.

1380001518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380001518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840490496).

1380001518 is an abundant number, since it is smaller than the sum of its proper divisors (2300979474).

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

1380001518 is a wasteful number, since it uses less digits than its factorization.

1380001518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15430 (or 15427 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1380001518 is about 37148.3716736010. The cubic root of 1380001518 is about 1113.3366897441.

The spelling of 1380001518 in words is "one billion, three hundred eighty million, one thousand, five hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 62 63 69 93 126 138 161 186 207 217 279 322 414 434 483 558 651 713 966 1302 1426 1449 1953 2139 2898 3906 4278 4991 6417 9982 12834 14973 15361 29946 30722 44919 46083 89838 92166 107527 138249 215054 276498 322581 353303 476191 645162 706606 952382 967743 1059909 1428573 1935486 2119818 2473121 2857146 3179727 3333337 4285719 4946242 6359454 6666674 7419363 8571438 10000011 10952393 14838726 20000022 21904786 22258089 30000033 32857179 44516178 60000066 65714358 76666751 98571537 153333502 197143074 230000253 460000506 690000759 1380001518