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20384728 = 2371328001
BaseRepresentation
bin100110111000…
…0101111011000
31102100122120221
41031300233120
520204302403
62004525424
7335160460
oct115605730
942318527
1020384728
1110563391
1269b0874
1342b9590
1429c8ba0
151bc9dbd
hex1370bd8

20384728 has 32 divisors (see below), whose sum is σ = 47043360. Its totient is φ = 8064000.

The previous prime is 20384719. The next prime is 20384731. The reversal of 20384728 is 82748302.

It is a super-4 number, since 4×203847284 (a number of 30 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20384693 and 20384702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13273 + ... + 14728.

It is an arithmetic number, because the mean of its divisors is an integer number (1470105).

Almost surely, 220384728 is an apocalyptic number.

20384728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20384728 is an abundant number, since it is smaller than the sum of its proper divisors (26658632).

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

20384728 is a wasteful number, since it uses less digits than its factorization.

20384728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28027 (or 28023 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 20384728 is about 4514.9449609048. The cubic root of 20384728 is about 273.1712397385.

It can be divided in two parts, 20384 and 728, that added together give a palindrome (21112).

The spelling of 20384728 in words is "twenty million, three hundred eighty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 28001 56002 112004 196007 224008 364013 392014 728026 784028 1456052 1568056 2548091 2912104 5096182 10192364 20384728