Search a number
-
+
5788980 = 22325291109
BaseRepresentation
bin10110000101010100110100
3101220002222200
4112011110310
52440221410
6324024500
7100130331
oct26052464
911802880
105788980
1132a438a
121b32130
131278c42
14aa9988
157953c0
hex585534

5788980 has 72 divisors (see below), whose sum is σ = 18181800. Its totient is φ = 1489152.

The previous prime is 5788967. The next prime is 5788987. The reversal of 5788980 is 898875.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 5788836 = 12^2 + 2406^2 .

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

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5788987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4666 + ... + 5774.

It is an arithmetic number, because the mean of its divisors is an integer number (252525).

Almost surely, 25788980 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 5788980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9090900).

5788980 is an abundant number, since it is smaller than the sum of its proper divisors (12392820).

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

5788980 is a wasteful number, since it uses less digits than its factorization.

5788980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 5788980 is about 2406.0299250009. The cubic root of 5788980 is about 179.5563146578.

The spelling of 5788980 in words is "five million, seven hundred eighty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1109 1305 1740 2218 2610 3327 4436 5220 5545 6654 9981 11090 13308 16635 19962 22180 32161 33270 39924 49905 64322 66540 96483 99810 128644 160805 192966 199620 289449 321610 385932 482415 578898 643220 964830 1157796 1447245 1929660 2894490 5788980