Search a number
-
+
2736126 = 233232203
BaseRepresentation
bin1010011011111111111110
312011000021000
422123333332
51200024001
6134351130
732154021
oct12337776
95130230
102736126
1115a9768
12abb4a6
1374a513
145131b8
15390a86
hex29bffe

2736126 has 32 divisors (see below), whose sum is σ = 6347520. Its totient is φ = 871992.

The previous prime is 2736089. The next prime is 2736131. The reversal of 2736126 is 6216372.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2736126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141 + ... + 2343.

It is an arithmetic number, because the mean of its divisors is an integer number (198360).

22736126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2736126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173760).

2736126 is an abundant number, since it is smaller than the sum of its proper divisors (3611394).

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

2736126 is a wasteful number, since it uses less digits than its factorization.

2736126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2231 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2736126 is about 1654.1239373155. The cubic root of 2736126 is about 139.8659601429.

The spelling of 2736126 in words is "two million, seven hundred thirty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 2203 4406 6609 13218 19827 39654 50669 59481 101338 118962 152007 304014 456021 912042 1368063 2736126