Search a number
-
+
5841920 = 21057163
BaseRepresentation
bin10110010010010000000000
3101222210121102
4112102100000
52443420140
6325113532
7100440560
oct26222000
911883542
105841920
113330137
121b588a8
131297076
14ac0da0
157a5e15
hex592400

5841920 has 88 divisors (see below), whose sum is σ = 16113984. Its totient is φ = 1990656.

The previous prime is 5841907. The next prime is 5841961. The reversal of 5841920 is 291485.

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, 35759 + ... + 35921.

Almost surely, 25841920 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 5841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8056992).

5841920 is an abundant number, since it is smaller than the sum of its proper divisors (10272064).

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

5841920 is a wasteful number, since it uses less digits than its factorization.

5841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 5841920 is about 2417.0064129001. The cubic root of 5841920 is about 180.1019998025.

The spelling of 5841920 in words is "five million, eight hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 163 224 256 280 320 326 448 512 560 640 652 815 896 1024 1120 1141 1280 1304 1630 1792 2240 2282 2560 2608 3260 3584 4480 4564 5120 5216 5705 6520 7168 8960 9128 10432 11410 13040 17920 18256 20864 22820 26080 35840 36512 41728 45640 52160 73024 83456 91280 104320 146048 166912 182560 208640 292096 365120 417280 584192 730240 834560 1168384 1460480 2920960 5841920