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1381801728 = 28323137571
BaseRepresentation
bin101001001011100…
…1001111100000000
310120022002210121210
41102113021330000
510312220123403
6345040450120
746146056316
oct12227117400
93508083553
101381801728
11649a9a0aa
12326919940
13190379478
14d17360b6
158149cb03
hex525c9f00

1381801728 has 144 divisors (see below), whose sum is σ = 3872284416. Its totient is φ = 436592640.

The previous prime is 1381801723. The next prime is 1381801819. The reversal of 1381801728 is 8271081831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381801723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2419683 + ... + 2420253.

It is an arithmetic number, because the mean of its divisors is an integer number (26890864).

Almost surely, 21381801728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936142208).

1381801728 is an abundant number, since it is smaller than the sum of its proper divisors (2490482688).

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

1381801728 is a wasteful number, since it uses less digits than its factorization.

1381801728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 1381801728 is about 37172.5937755223. The cubic root of 1381801728 is about 1113.8205947587.

The spelling of 1381801728 in words is "one billion, three hundred eighty-one million, eight hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 137 138 184 192 256 274 276 368 384 411 548 552 571 736 768 822 1096 1104 1142 1472 1644 1713 2192 2208 2284 2944 3151 3288 3426 4384 4416 4568 5888 6302 6576 6852 8768 8832 9136 9453 12604 13133 13152 13704 17536 17664 18272 18906 25208 26266 26304 27408 35072 36544 37812 39399 50416 52532 52608 54816 73088 75624 78227 78798 100832 105064 105216 109632 146176 151248 156454 157596 201664 210128 219264 234681 302496 312908 315192 403328 420256 438528 469362 604992 625816 630384 806656 840512 938724 1209984 1251632 1260768 1681024 1799221 1877448 2419968 2503264 2521536 3362048 3598442 3754896 5006528 5043072 5397663 7196884 7509792 10013056 10086144 10795326 14393768 15019584 20026112 21590652 28787536 30039168 43181304 57575072 60078336 86362608 115150144 172725216 230300288 345450432 460600576 690900864 1381801728