Search a number
-
+
1399021568 = 213731787
BaseRepresentation
bin101001101100011…
…0110000000000000
310121111111122210122
41103120312000000
510331122142233
6350453515412
746445326040
oct12330660000
93544448718
101399021568
1165879067a
12330642b68
13193ac8319
14d3b39720
1582c4ed98
hex53636000

1399021568 has 112 divisors (see below), whose sum is σ = 3304909824. Its totient is φ = 579502080.

The previous prime is 1399021543. The next prime is 1399021571. The reversal of 1399021568 is 8651209931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×13990215682 = 3914522695458357248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1777271 + ... + 1778057.

Almost surely, 21399021568 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 1399021568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652454912).

1399021568 is an abundant number, since it is smaller than the sum of its proper divisors (1905888256).

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

1399021568 is an frugal number, since it uses more digits than its factorization.

1399021568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 1399021568 is about 37403.4967349311. The cubic root of 1399021568 is about 1118.4282715702.

The spelling of 1399021568 in words is "one billion, three hundred ninety-nine million, twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 787 868 896 992 1024 1574 1736 1792 1984 2048 3148 3472 3584 3968 4096 5509 6296 6944 7168 7936 8192 11018 12592 13888 14336 15872 22036 24397 25184 27776 28672 31744 44072 48794 50368 55552 57344 63488 88144 97588 100736 111104 126976 170779 176288 195176 201472 222208 253952 341558 352576 390352 402944 444416 683116 705152 780704 805888 888832 1366232 1410304 1561408 1611776 1777664 2732464 2820608 3122816 3223552 5464928 5641216 6245632 6447104 10929856 11282432 12491264 21859712 22564864 24982528 43719424 45129728 49965056 87438848 99930112 174877696 199860224 349755392 699510784 1399021568