Search a number
-
+
1389163680 = 25325964697
BaseRepresentation
bin101001011001100…
…1111010010100000
310120210221211022200
41102303033102200
510321111214210
6345502333200
746265460612
oct12263172240
93523854280
101389163680
11653168263
1232928a200
13191a56358
14d26d0db2
1581e540c0
hex52ccf4a0

1389163680 has 72 divisors (see below), whose sum is σ = 4740525972. Its totient is φ = 370443264.

The previous prime is 1389163679. The next prime is 1389163717. The reversal of 1389163680 is 863619831.

It is a happy number.

1389163680 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 1 + 636 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1168819344 + 220344336 = 34188^2 + 14844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13891636802 = 3859551459662284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480909 + ... + 483788.

Almost surely, 21389163680 is an apocalyptic number.

1389163680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1389163680 is an abundant number, since it is smaller than the sum of its proper divisors (3351362292).

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

1389163680 is a wasteful number, since it uses less digits than its factorization.

1389163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964718 (or 964707 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1389163680 is about 37271.4861522854. The cubic root of 1389163680 is about 1115.7951603078.

The spelling of 1389163680 in words is "one billion, three hundred eighty-nine million, one hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 964697 1929394 2894091 3858788 4823485 5788182 7717576 8682273 9646970 11576364 14470455 15435152 17364546 19293940 23152728 28940910 30870304 34729092 38587880 43411365 46305456 57881820 69458184 77175760 86822730 92610912 115763640 138916368 154351520 173645460 231527280 277832736 347290920 463054560 694581840 1389163680