Search a number
-
+
5982720 = 29351941
BaseRepresentation
bin10110110100101000000000
3102020221202020
4112310220000
53012421340
6332121440
7101565222
oct26645000
912227666
105982720
1134169a7
122006280
131316193
14b1a412
157d29d0
hex5b4a00

5982720 has 160 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 1474560.

The previous prime is 5982709. The next prime is 5982727. The reversal of 5982720 is 272895.

5982720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (5982727) 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, 145900 + ... + 145940.

It is an arithmetic number, because the mean of its divisors is an integer number (128898).

Almost surely, 25982720 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 5982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

5982720 is an abundant number, since it is smaller than the sum of its proper divisors (14640960).

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

5982720 is a wasteful number, since it uses less digits than its factorization.

5982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5982720 is about 2445.9599342589. The cubic root of 5982720 is about 181.5374479720.

The spelling of 5982720 in words is "five million, nine hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 41 48 57 60 64 76 80 82 95 96 114 120 123 128 152 160 164 190 192 205 228 240 246 256 285 304 320 328 380 384 410 456 480 492 512 570 608 615 640 656 760 768 779 820 912 960 984 1140 1216 1230 1280 1312 1520 1536 1558 1640 1824 1920 1968 2280 2337 2432 2460 2560 2624 3040 3116 3280 3648 3840 3895 3936 4560 4674 4864 4920 5248 6080 6232 6560 7296 7680 7790 7872 9120 9348 9728 9840 10496 11685 12160 12464 13120 14592 15580 15744 18240 18696 19680 20992 23370 24320 24928 26240 29184 31160 31488 36480 37392 39360 46740 48640 49856 52480 62320 62976 72960 74784 78720 93480 99712 104960 124640 145920 149568 157440 186960 199424 249280 299136 314880 373920 398848 498560 598272 747840 997120 1196544 1495680 1994240 2991360 5982720