Search a number
-
+
6049980 = 22325192961
BaseRepresentation
bin10111000101000010111100
3102101101000100
4113011002330
53022044410
6333401100
7102265266
oct27050274
912341010
106049980
113462492
122039190
13133a991
14b36b36
157e78c0
hex5c50bc

6049980 has 144 divisors (see below), whose sum is σ = 20311200. Its totient is φ = 1451520.

The previous prime is 6049963. The next prime is 6049993. The reversal of 6049980 is 899406.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 99150 + ... + 99210.

It is an arithmetic number, because the mean of its divisors is an integer number (141050).

Almost surely, 26049980 is an apocalyptic number.

6049980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6049980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155600).

6049980 is an abundant number, since it is smaller than the sum of its proper divisors (14261220).

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

6049980 is a wasteful number, since it uses less digits than its factorization.

6049980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6049980 is about 2459.6707096683. The cubic root of 6049980 is about 182.2152185710.

The spelling of 6049980 in words is "six million, forty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 61 76 87 90 95 114 116 122 145 171 174 180 183 190 228 244 261 285 290 305 342 348 366 380 435 522 549 551 570 580 610 684 732 855 870 915 1044 1098 1102 1140 1159 1220 1305 1653 1710 1740 1769 1830 2196 2204 2318 2610 2745 2755 3306 3420 3477 3538 3660 4636 4959 5220 5307 5490 5510 5795 6612 6954 7076 8265 8845 9918 10431 10614 10980 11020 11590 13908 15921 16530 17385 17690 19836 20862 21228 23180 24795 26535 31842 33060 33611 34770 35380 41724 49590 52155 53070 63684 67222 69540 79605 99180 100833 104310 106140 134444 159210 168055 201666 208620 302499 318420 336110 403332 504165 604998 672220 1008330 1209996 1512495 2016660 3024990 6049980