Search a number
-
+
1939836 = 2231737257
BaseRepresentation
bin111011001100101111100
310122112221210
413121211330
5444033321
6105324420
722326333
oct7314574
93575853
101939836
111105478
12796710
1352bc42
14386d1a
15284b76
hex1d997c

1939836 has 48 divisors (see below), whose sum is σ = 4941216. Its totient is φ = 589824.

The previous prime is 1939801. The next prime is 1939837. The reversal of 1939836 is 6389391.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1939794 and 1939803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1939837) 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, 7420 + ... + 7676.

It is an arithmetic number, because the mean of its divisors is an integer number (102942).

21939836 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 1939836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470608).

1939836 is an abundant number, since it is smaller than the sum of its proper divisors (3001380).

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

1939836 is a wasteful number, since it uses less digits than its factorization.

1939836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 316 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 1939836 is about 1392.7799539051. The cubic root of 1939836 is about 124.7158559199.

It can be divided in two parts, 1939 and 836, that added together give a triangular number (2775 = T74).

The spelling of 1939836 in words is "one million, nine hundred thirty-nine thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 257 444 514 629 771 1028 1258 1542 1887 2516 3084 3774 4369 7548 8738 9509 13107 17476 19018 26214 28527 38036 52428 57054 114108 161653 323306 484959 646612 969918 1939836