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1393369728 = 27329211593
BaseRepresentation
bin101001100001101…
…0010001010000000
310121002212111221020
41103003102022000
510323200312403
6350132425440
746346306262
oct12303221200
93532774836
101393369728
11655580333
1232a778280
1319289993a
14d30a7b32
15824d5453
hex530d2280

1393369728 has 128 divisors (see below), whose sum is σ = 3853396800. Its totient is φ = 445562880.

The previous prime is 1393369723. The next prime is 1393369763. The reversal of 1393369728 is 8279633931.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1393369723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2349400 + ... + 2349992.

Almost surely, 21393369728 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 1393369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926698400).

1393369728 is an abundant number, since it is smaller than the sum of its proper divisors (2460027072).

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

1393369728 is a wasteful number, since it uses less digits than its factorization.

1393369728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 1393369728 is about 37327.8679809067. The cubic root of 1393369728 is about 1116.9201439972.

The spelling of 1393369728 in words is "one billion, three hundred ninety-three million, three hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 211 232 348 384 422 464 593 633 696 844 928 1186 1266 1392 1688 1779 1856 2372 2532 2784 3376 3558 3712 4744 5064 5568 6119 6752 7116 9488 10128 11136 12238 13504 14232 17197 18357 18976 20256 24476 27008 28464 34394 36714 37952 40512 48952 51591 56928 68788 73428 75904 81024 97904 103182 113856 125123 137576 146856 195808 206364 227712 250246 275152 293712 375369 391616 412728 500492 550304 587424 750738 783232 825456 1000984 1100608 1174848 1501476 1650912 2001968 2201216 2349696 3002952 3301824 3628567 4003936 6005904 6603648 7257134 8007872 10885701 12011808 14514268 16015744 21771402 24023616 29028536 43542804 48047232 58057072 87085608 116114144 174171216 232228288 348342432 464456576 696684864 1393369728