Search a number
-
+
1983940 = 225737383
BaseRepresentation
bin111100100010111000100
310201210110021
413210113010
51001441230
6110304524
722602040
oct7442704
93653407
101983940
111135622
127b8144
1354603a
14399020
15292c7a
hex1e45c4

1983940 has 48 divisors (see below), whose sum is σ = 4902912. Its totient is φ = 660096.

The previous prime is 1983931. The next prime is 1983967. The reversal of 1983940 is 493891.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1983896 and 1983905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4989 + ... + 5371.

It is an arithmetic number, because the mean of its divisors is an integer number (102144).

21983940 is an apocalyptic number.

1983940 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 1983940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451456).

1983940 is an abundant number, since it is smaller than the sum of its proper divisors (2918972).

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

1983940 is a wasteful number, since it uses less digits than its factorization.

1983940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 1983940 is about 1408.5240502029. The cubic root of 1983940 is about 125.6539593971.

The spelling of 1983940 in words is "one million, nine hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 383 518 740 766 1036 1295 1532 1915 2590 2681 3830 5180 5362 7660 10724 13405 14171 26810 28342 53620 56684 70855 99197 141710 198394 283420 396788 495985 991970 1983940