Search a number
-
+
2991006 = 23437499
BaseRepresentation
bin1011011010001110011110
312121221220000
423122032132
51231203011
6144035130
734265064
oct13321636
95557800
102991006
111763207
121002aa6
13809535
1457c034
153e1356
hex2da39e

2991006 has 40 divisors (see below), whose sum is σ = 6897000. Its totient is φ = 968112.

The previous prime is 2990993. The next prime is 2991041. The reversal of 2991006 is 6001992.

It is a happy number.

It is a super-2 number, since 2×29910062 = 17892233784072, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 5745 + ... + 6243.

It is an arithmetic number, because the mean of its divisors is an integer number (172425).

22991006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2991006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448500).

2991006 is an abundant number, since it is smaller than the sum of its proper divisors (3905994).

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

2991006 is a wasteful number, since it uses less digits than its factorization.

2991006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2991006 is about 1729.4525145259. The cubic root of 2991006 is about 144.0806839506.

Adding to 2991006 its reverse (6001992), we get a palindrome (8992998).

The spelling of 2991006 in words is "two million, nine hundred ninety-one thousand, six".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 499 666 998 999 1497 1998 2994 2997 4491 5994 8982 13473 18463 26946 36926 40419 55389 80838 110778 166167 332334 498501 997002 1495503 2991006