Search a number
-
+
5992980 = 2235719751
BaseRepresentation
bin10110110111001000010100
3102021110211020
4112313020110
53013233410
6332241140
7101640150
oct26671024
912243736
105992980
113423684
1220101b0
13131aa56
14b20060
157d5a70
hex5b7214

5992980 has 96 divisors (see below), whose sum is σ = 20213760. Its totient is φ = 1296000.

The previous prime is 5992969. The next prime is 5993023. The reversal of 5992980 is 892995.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 7605 + ... + 8355.

It is an arithmetic number, because the mean of its divisors is an integer number (210560).

Almost surely, 25992980 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 5992980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10106880).

5992980 is an abundant number, since it is smaller than the sum of its proper divisors (14220780).

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

5992980 is a wasteful number, since it uses less digits than its factorization.

5992980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 5992980 is about 2448.0563719000. The cubic root of 5992980 is about 181.6411639237.

It can be divided in two parts, 59 and 92980, that added together give a palindrome (93039).

The spelling of 5992980 in words is "five million, nine hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 751 798 1140 1330 1502 1596 1995 2253 2660 3004 3755 3990 4506 5257 7510 7980 9012 10514 11265 14269 15020 15771 21028 22530 26285 28538 31542 42807 45060 52570 57076 63084 71345 78855 85614 99883 105140 142690 157710 171228 199766 214035 285380 299649 315420 399532 428070 499415 599298 856140 998830 1198596 1498245 1997660 2996490 5992980