Search a number
-
+
1968340 = 2251123389
BaseRepresentation
bin111100000100011010100
310201000001111
413200203110
51000441330
6110104404
722505413
oct7404324
93630044
101968340
111124930
127ab104
1353bbca
1439347a
1528d32a
hex1e08d4

1968340 has 48 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 682880.

The previous prime is 1968331. The next prime is 1968341. The reversal of 1968340 is 438691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968341) 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, 4866 + ... + 5254.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

21968340 is an apocalyptic number.

1968340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

1968340 is an abundant number, since it is smaller than the sum of its proper divisors (2749100).

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

1968340 is a wasteful number, since it uses less digits than its factorization.

1968340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1968340 is about 1402.9754096206. The cubic root of 1968340 is about 125.3237474435.

The spelling of 1968340 in words is "one million, nine hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 389 460 506 778 1012 1265 1556 1945 2530 3890 4279 5060 7780 8558 8947 17116 17894 21395 35788 42790 44735 85580 89470 98417 178940 196834 393668 492085 984170 1968340