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5390784 = 263272191
BaseRepresentation
bin10100100100000111000000
3101010212202200
4110210013000
52340001114
6311313200
763551400
oct24440700
911125680
105390784
1130521a3
12197b800
131169919
14a04800
15717409
hex5241c0

5390784 has 126 divisors (see below), whose sum is σ = 18068544. Its totient is φ = 1532160.

The previous prime is 5390783. The next prime is 5390797. The reversal of 5390784 is 4870935.

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5390783) 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 17 ways as a sum of consecutive naturals, for example, 28129 + ... + 28319.

Almost surely, 25390784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5390784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034272).

5390784 is an abundant number, since it is smaller than the sum of its proper divisors (12677760).

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

5390784 is a wasteful number, since it uses less digits than its factorization.

5390784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5390784 is about 2321.8061934623. The cubic root of 5390784 is about 175.3412009880.

The spelling of 5390784 in words is "five million, three hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 191 192 196 224 252 288 294 336 382 392 441 448 504 573 576 588 672 764 784 882 1008 1146 1176 1337 1344 1528 1568 1719 1764 2016 2292 2352 2674 3056 3136 3438 3528 4011 4032 4584 4704 5348 6112 6876 7056 8022 9168 9359 9408 10696 12033 12224 13752 14112 16044 18336 18718 21392 24066 27504 28077 28224 32088 36672 37436 42784 48132 55008 56154 64176 74872 84231 85568 96264 110016 112308 128352 149744 168462 192528 224616 256704 299488 336924 385056 449232 598976 673848 770112 898464 1347696 1796928 2695392 5390784