Search a number
-
+
2993004 = 2233737107
BaseRepresentation
bin1011011010101101101100
312122001122000
423122231230
51231234004
6144052300
734303650
oct13325554
95561560
102993004
111764763
121004090
1380a411
1457ca60
153e1c39
hex2dab6c

2993004 has 96 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 824256.

The previous prime is 2992999. The next prime is 2993027. The reversal of 2993004 is 4003992.

2993004 = T181 + T182 + ... + T287.

2993004 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27919 + ... + 28025.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

22993004 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 2993004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

2993004 is an abundant number, since it is smaller than the sum of its proper divisors (6199956).

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

2993004 is a wasteful number, since it uses less digits than its factorization.

2993004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2993004 is about 1730.0300575424. The cubic root of 2993004 is about 144.1127589035.

Adding to 2993004 its reverse (4003992), we get a palindrome (6996996).

The spelling of 2993004 in words is "two million, nine hundred ninety-three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 107 108 111 126 148 189 214 222 252 259 321 333 378 428 444 518 642 666 749 756 777 963 999 1036 1284 1332 1498 1554 1926 1998 2247 2331 2889 2996 3108 3852 3959 3996 4494 4662 5778 6741 6993 7918 8988 9324 11556 11877 13482 13986 15836 20223 23754 26964 27713 27972 35631 40446 47508 55426 71262 80892 83139 106893 110852 142524 166278 213786 249417 332556 427572 498834 748251 997668 1496502 2993004