Search a number
-
+
2726406 = 233291741
BaseRepresentation
bin1010011001101000000110
312010111221000
422121220012
51144221111
6134234130
732113464
oct12315006
95114830
102726406
1115a2431
12ab5946
13745c77
1450d834
1538cc56
hex299a06

2726406 has 32 divisors (see below), whose sum is σ = 6271200. Its totient is φ = 876960.

The previous prime is 2726401. The next prime is 2726407. The reversal of 2726406 is 6046272.

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

It is a Curzon number.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 2726406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2726401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696 + ... + 2436.

It is an arithmetic number, because the mean of its divisors is an integer number (195975).

22726406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2726406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135600).

2726406 is an abundant number, since it is smaller than the sum of its proper divisors (3544794).

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

2726406 is a wasteful number, since it uses less digits than its factorization.

2726406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2726406 is about 1651.1832121240. The cubic root of 2726406 is about 139.7001405164.

The spelling of 2726406 in words is "two million, seven hundred twenty-six thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 1741 3482 5223 10446 15669 31338 47007 50489 94014 100978 151467 302934 454401 908802 1363203 2726406