Search a number
-
+
1383936 = 2931753
BaseRepresentation
bin101010001111000000000
32121022101220
411101320000
5323241221
645355040
714522541
oct5217000
92538356
101383936
11865854
12568a80
13395bc8
142804c8
151c50c6
hex151e00

1383936 has 80 divisors (see below), whose sum is σ = 3977424. Its totient is φ = 425984.

The previous prime is 1383923. The next prime is 1383937. The reversal of 1383936 is 6393831.

1383936 is nontrivially palindromic in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1383897 and 1383906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26086 + ... + 26138.

21383936 is an apocalyptic number.

1383936 is a gapful number since it is divisible by the number (16) 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 1383936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988712).

1383936 is an abundant number, since it is smaller than the sum of its proper divisors (2593488).

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

1383936 is an equidigital number, since it uses as much as digits as its factorization.

1383936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 1383936 is about 1176.4080924577. The cubic root of 1383936 is about 111.4393753026.

The spelling of 1383936 in words is "one million, three hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 128 136 159 192 204 212 256 272 318 384 408 424 512 544 636 768 816 848 901 1088 1272 1536 1632 1696 1802 2176 2544 2703 3264 3392 3604 4352 5088 5406 6528 6784 7208 8704 10176 10812 13056 13568 14416 20352 21624 26112 27136 28832 40704 43248 57664 81408 86496 115328 172992 230656 345984 461312 691968 1383936