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5989680 = 243354759
BaseRepresentation
bin10110110110010100110000
3102021022022000
4112312110300
53013132210
6332214000
7101624424
oct26662460
912238260
105989680
113421154
12200a300
1313193b8
14b1cb84
157d4ac0
hex5b6530

5989680 has 160 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 1536768.

The previous prime is 5989673. The next prime is 5989681. The reversal of 5989680 is 869895.

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

It is not an unprimeable number, because it can be changed into a prime (5989681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101491 + ... + 101549.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 25989680 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 5989680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

5989680 is an abundant number, since it is smaller than the sum of its proper divisors (15437520).

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

5989680 is a wasteful number, since it uses less digits than its factorization.

5989680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 5989680 is about 2447.3822750032. The cubic root of 5989680 is about 181.6078179146.

The spelling of 5989680 in words is "five million, nine hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 59 60 72 80 90 94 108 118 120 135 141 144 177 180 188 216 235 236 240 270 282 295 354 360 376 423 432 470 472 531 540 564 590 705 708 720 752 846 885 940 944 1062 1080 1128 1180 1269 1410 1416 1593 1692 1770 1880 2115 2124 2160 2256 2360 2538 2655 2773 2820 2832 3186 3384 3540 3760 4230 4248 4720 5076 5310 5546 5640 6345 6372 6768 7080 7965 8319 8460 8496 10152 10620 11092 11280 12690 12744 13865 14160 15930 16638 16920 20304 21240 22184 24957 25380 25488 27730 31860 33276 33840 41595 42480 44368 49914 50760 55460 63720 66552 74871 83190 99828 101520 110920 124785 127440 133104 149742 166380 199656 221840 249570 299484 332760 374355 399312 499140 598968 665520 748710 998280 1197936 1497420 1996560 2994840 5989680