Search a number
-
+
19403936 = 251753673
BaseRepresentation
bin100101000000…
…1010010100000
31100111211012022
41022001102200
514431411221
61531521012
7323634146
oct112012240
940454168
1019403936
11aa53512
1265b9168
134035026
142811596
151a844ab
hex12814a0

19403936 has 48 divisors (see below), whose sum is σ = 41273064. Its totient is φ = 8945664.

The previous prime is 19403831. The next prime is 19403939. The reversal of 19403936 is 63930491.

It can be written as a sum of positive squares in 4 ways, for example, as 18490000 + 913936 = 4300^2 + 956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19403896 and 19403905.

It is not an unprimeable number, because it can be changed into a prime (19403939) 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, 28496 + ... + 29168.

Almost surely, 219403936 is an apocalyptic number.

19403936 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 19403936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20636532).

19403936 is an abundant number, since it is smaller than the sum of its proper divisors (21869128).

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

19403936 is a wasteful number, since it uses less digits than its factorization.

19403936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 19403936 is about 4404.9898978318. The cubic root of 19403936 is about 268.7179088417.

The spelling of 19403936 in words is "nineteen million, four hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 544 673 848 901 1346 1696 1802 2692 3604 5384 7208 10768 11441 14416 21536 22882 28832 35669 45764 71338 91528 142676 183056 285352 366112 570704 606373 1141408 1212746 2425492 4850984 9701968 19403936