Search a number
-
+
388920980 = 225724111527
BaseRepresentation
bin10111001011100…
…111011010010100
31000002211020021202
4113023213122110
51244030432410
6102331532032
712431526260
oct2713473224
91002736252
10388920980
1118a5990a8
12aa2ba018
1362762876
143991d0a0
1524225ca5
hex172e7694

388920980 has 48 divisors (see below), whose sum is σ = 937364736. Its totient is φ = 132779520.

The previous prime is 388920977. The next prime is 388920989. The reversal of 388920980 is 89029883.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388920989) 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, 27977 + ... + 39503.

It is an arithmetic number, because the mean of its divisors is an integer number (19528432).

Almost surely, 2388920980 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 388920980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468682368).

388920980 is an abundant number, since it is smaller than the sum of its proper divisors (548443756).

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

388920980 is a wasteful number, since it uses less digits than its factorization.

388920980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11784 (or 11782 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The square root of 388920980 is about 19721.0795850531. The cubic root of 388920980 is about 729.9399337579.

The spelling of 388920980 in words is "three hundred eighty-eight million, nine hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 241 482 964 1205 1687 2410 3374 4820 6748 8435 11527 16870 23054 33740 46108 57635 80689 115270 161378 230540 322756 403445 806890 1613780 2778007 5556014 11112028 13890035 19446049 27780070 38892098 55560140 77784196 97230245 194460490 388920980