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1380538016 = 2511132231009
BaseRepresentation
bin101001001001001…
…0101011010100000
310120012201121010122
41102102111122200
510311404204031
6344553415412
746132244114
oct12222253240
93505647118
101380538016
11649306710
1232640a568
13190026200
14d14c7744
15812ed47b
hex524956a0

1380538016 has 144 divisors (see below), whose sum is σ = 3353555520. Its totient is φ = 553512960.

The previous prime is 1380538013. The next prime is 1380538021. The reversal of 1380538016 is 6108350831.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1380538013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1367720 + ... + 1368728.

It is an arithmetic number, because the mean of its divisors is an integer number (23288580).

Almost surely, 21380538016 is an apocalyptic number.

1380538016 is a gapful number since it is divisible by the number (16) 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 1380538016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676777760).

1380538016 is an abundant number, since it is smaller than the sum of its proper divisors (1973017504).

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

1380538016 is a wasteful number, since it uses less digits than its factorization.

1380538016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 1380538016 is about 37155.5919882862. The cubic root of 1380538016 is about 1113.4809469575.

Adding to 1380538016 its reverse (6108350831), we get a palindrome (7488888847).

The spelling of 1380538016 in words is "one billion, three hundred eighty million, five hundred thirty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 88 92 104 143 169 176 184 208 253 286 299 338 352 368 416 506 572 598 676 736 1009 1012 1144 1196 1352 1859 2018 2024 2288 2392 2704 3289 3718 3887 4036 4048 4576 4784 5408 6578 7436 7774 8072 8096 9568 11099 13117 13156 14872 15548 16144 22198 23207 26234 26312 29744 31096 32288 42757 44396 46414 52468 52624 59488 62192 85514 88792 92828 104936 105248 124384 144287 170521 171028 177584 185656 209872 255277 288574 301691 341042 342056 355168 371312 419744 510554 577148 603382 682084 684112 742624 1021108 1154296 1206764 1364168 1368224 1875731 2042216 2308592 2413528 2728336 3318601 3751462 3921983 4084432 4617184 4827056 5456672 6637202 7502924 7843966 8168864 9654112 13274404 15005848 15687932 26548808 30011696 31375864 43141813 53097616 60023392 62751728 86283626 106195232 125503456 172567252 345134504 690269008 1380538016