Search a number
-
+
1380052728 = 233447113401
BaseRepresentation
bin101001001000001…
…1110111011111000
310120011210221110000
41102100132323320
510311243141403
6344535153000
746125153225
oct12220367370
93504727400
101380052728
1164900504a
12326215760
1318cbb6362
14d13dc94c
15812547a3
hex5241eef8

1380052728 has 160 divisors (see below), whose sum is σ = 3992535360. Its totient is φ = 445132800.

The previous prime is 1380052717. The next prime is 1380052733. The reversal of 1380052728 is 8272500831.

1380052728 is a `hidden beast` number, since 1 + 380 + 0 + 5 + 272 + 8 = 666.

1380052728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1380052692 and 1380052701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3441328 + ... + 3441728.

It is an arithmetic number, because the mean of its divisors is an integer number (24953346).

Almost surely, 21380052728 is an apocalyptic number.

1380052728 is a gapful number since it is divisible by the number (18) 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 1380052728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996267680).

1380052728 is an abundant number, since it is smaller than the sum of its proper divisors (2612482632).

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

1380052728 is a wasteful number, since it uses less digits than its factorization.

1380052728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1380052728 is about 37149.0609302577. The cubic root of 1380052728 is about 1113.3504610494.

The spelling of 1380052728 in words is "one billion, three hundred eighty million, fifty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 113 141 162 188 216 226 282 324 339 376 401 423 452 564 648 678 802 846 904 1017 1128 1203 1269 1356 1604 1692 2034 2406 2538 2712 3051 3208 3384 3609 3807 4068 4812 5076 5311 6102 7218 7614 8136 9153 9624 10152 10622 10827 12204 14436 15228 15933 18306 18847 21244 21654 24408 28872 30456 31866 32481 36612 37694 42488 43308 45313 47799 56541 63732 64962 73224 75388 86616 90626 95598 113082 127464 129924 135939 143397 150776 169623 181252 191196 226164 259848 271878 286794 339246 362504 382392 407817 430191 452328 508869 543756 573588 678492 815634 860382 1017738 1087512 1147176 1223451 1356984 1526607 1631268 1720764 2035476 2129711 2446902 3053214 3262536 3441528 3670353 4070952 4259422 4893804 6106428 6389133 7340706 8518844 9787608 12212856 12778266 14681412 17037688 19167399 25556532 29362824 38334798 51113064 57502197 76669596 115004394 153339192 172506591 230008788 345013182 460017576 690026364 1380052728