Search a number
-
+
1938006 = 23471709
BaseRepresentation
bin111011001001001010110
310122110110000
413121021112
5444004011
6105312130
722321110
oct7311126
93573400
101938006
111104064
12795646
1352b165
143863b0
15284356
hex1d9256

1938006 has 40 divisors (see below), whose sum is σ = 4965840. Its totient is φ = 553392.

The previous prime is 1937993. The next prime is 1938007. The reversal of 1938006 is 6008391.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1938007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 280 + ... + 1988.

It is an arithmetic number, because the mean of its divisors is an integer number (124146).

21938006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1938006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482920).

1938006 is an abundant number, since it is smaller than the sum of its proper divisors (3027834).

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

1938006 is a wasteful number, since it uses less digits than its factorization.

1938006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1938006 is about 1392.1228394075. The cubic root of 1938006 is about 124.6766254861.

It can be divided in two parts, 19 and 38006, that added together give a square (38025 = 1952).

The spelling of 1938006 in words is "one million, nine hundred thirty-eight thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1709 3418 5127 10254 11963 15381 23926 30762 35889 46143 71778 92286 107667 138429 215334 276858 323001 646002 969003 1938006