[go: up one dir, main page]

Search a number
-
+
6006616 = 237311199
BaseRepresentation
bin10110111010011101011000
3102022011112021
4112322131120
53014202431
6332424224
7102025000
oct26723530
912264467
106006616
113432950
122018074
131324015
14b25000
157d9b11
hex5ba758

6006616 has 64 divisors (see below), whose sum is σ = 14400000. Its totient is φ = 2328480.

The previous prime is 6006601. The next prime is 6006619. The reversal of 6006616 is 6166006.

6006616 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006619) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30085 + ... + 30283.

It is an arithmetic number, because the mean of its divisors is an integer number (225000).

Almost surely, 26006616 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 6006616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200000).

6006616 is an abundant number, since it is smaller than the sum of its proper divisors (8393384).

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

6006616 is a wasteful number, since it uses less digits than its factorization.

6006616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 6006616 is about 2450.8398560494. The cubic root of 6006616 is about 181.7788240264.

The spelling of 6006616 in words is "six million, six thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 199 308 343 392 398 539 616 686 796 1078 1372 1393 1592 2156 2189 2744 2786 3773 4312 4378 5572 7546 8756 9751 11144 15092 15323 17512 19502 30184 30646 39004 61292 68257 78008 107261 122584 136514 214522 273028 429044 546056 750827 858088 1501654 3003308 6006616