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5703936 = 28371061
BaseRepresentation
bin10101110000100100000000
3101201210022220
4111300210000
52430011221
6322131040
766324360
oct25604400
911653286
105703936
1132464a7
121ab0a80
131249314
14a869a0
1577a0c6
hex570900

5703936 has 72 divisors (see below), whose sum is σ = 17365824. Its totient is φ = 1628160.

The previous prime is 5703917. The next prime is 5703989. The reversal of 5703936 is 6393075.

It is a junction number, because it is equal to n+sod(n) for n = 5703897 and 5703906.

It is an unprimeable number.

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, 4846 + ... + 5906.

It is an arithmetic number, because the mean of its divisors is an integer number (241192).

Almost surely, 25703936 is an apocalyptic number.

5703936 is a gapful number since it is divisible by the number (56) 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 5703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8682912).

5703936 is an abundant number, since it is smaller than the sum of its proper divisors (11661888).

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

5703936 is a wasteful number, since it uses less digits than its factorization.

5703936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 5703936 is about 2388.2914395023. The cubic root of 5703936 is about 178.6727059170.

It can be divided in two parts, 57039 and 36, that added together give a palindrome (57075).

The spelling of 5703936 in words is "five million, seven hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1061 1344 1792 2122 2688 3183 4244 5376 6366 7427 8488 12732 14854 16976 22281 25464 29708 33952 44562 50928 59416 67904 89124 101856 118832 135808 178248 203712 237664 271616 356496 407424 475328 712992 814848 950656 1425984 1901312 2851968 5703936