Search a number
-
+
1982064 = 243717347
BaseRepresentation
bin111100011111001110000
310201200212210
413203321300
51001411224
6110252120
722563420
oct7437160
93650783
101982064
111134177
127b7040
13545226
14398480
15292429
hex1e3e70

1982064 has 80 divisors (see below), whose sum is σ = 6213888. Its totient is φ = 531456.

The previous prime is 1982059. The next prime is 1982069. The reversal of 1982064 is 4602891.

It is an interprime number because it is at equal distance from previous prime (1982059) and next prime (1982069).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982069) 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, 5539 + ... + 5885.

21982064 is an apocalyptic number.

1982064 is a gapful number since it is divisible by the number (14) 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 1982064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106944).

1982064 is an abundant number, since it is smaller than the sum of its proper divisors (4231824).

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

1982064 is a wasteful number, since it uses less digits than its factorization.

1982064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1982064 is about 1407.8579473796. The cubic root of 1982064 is about 125.6143410674.

The spelling of 1982064 in words is "one million, nine hundred eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 347 357 408 476 694 714 816 952 1041 1388 1428 1904 2082 2429 2776 2856 4164 4858 5552 5712 5899 7287 8328 9716 11798 14574 16656 17697 19432 23596 29148 35394 38864 41293 47192 58296 70788 82586 94384 116592 123879 141576 165172 247758 283152 330344 495516 660688 991032 1982064