Search a number
-
+
1938840 = 2335107151
BaseRepresentation
bin111011001010110011000
310122111120220
413121112120
5444020330
6105320040
722323411
oct7312630
93574526
101938840
111104752
12796020
1352b657
14386808
15284710
hex1d9598

1938840 has 64 divisors (see below), whose sum is σ = 5909760. Its totient is φ = 508800.

The previous prime is 1938829. The next prime is 1938847. The reversal of 1938840 is 488391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1938847) 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 15 ways as a sum of consecutive naturals, for example, 12765 + ... + 12915.

It is an arithmetic number, because the mean of its divisors is an integer number (92340).

21938840 is an apocalyptic number.

1938840 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 1938840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954880).

1938840 is an abundant number, since it is smaller than the sum of its proper divisors (3970920).

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

1938840 is a wasteful number, since it uses less digits than its factorization.

1938840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1938840 is about 1392.4223497201. The cubic root of 1938840 is about 124.6945073354.

The spelling of 1938840 in words is "one million, nine hundred thirty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 151 214 302 321 428 453 535 604 642 755 856 906 1070 1208 1284 1510 1605 1812 2140 2265 2568 3020 3210 3624 4280 4530 6040 6420 9060 12840 16157 18120 32314 48471 64628 80785 96942 129256 161570 193884 242355 323140 387768 484710 646280 969420 1938840