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5430564 = 223537151
BaseRepresentation
bin10100101101110100100100
3101012220100000
4110231310210
52342234224
6312221300
764105356
oct24556444
911186300
105430564
11307a077
12199a830
131181a69
14a150d6
157240c9
hex52dd24

5430564 has 72 divisors (see below), whose sum is σ = 14717248. Its totient is φ = 1749600.

The previous prime is 5430559. The next prime is 5430583. The reversal of 5430564 is 4650345.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35889 + ... + 36039.

Almost surely, 25430564 is an apocalyptic number.

5430564 is a gapful number since it is divisible by the number (54) 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 5430564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358624).

5430564 is an abundant number, since it is smaller than the sum of its proper divisors (9286684).

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

5430564 is a wasteful number, since it uses less digits than its factorization.

5430564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5430564 is about 2330.3570541872. The cubic root of 5430564 is about 175.7714405726.

The spelling of 5430564 in words is "five million, four hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 151 162 222 243 302 324 333 444 453 486 604 666 906 972 999 1332 1359 1812 1998 2718 2997 3996 4077 5436 5587 5994 8154 8991 11174 11988 12231 16308 16761 17982 22348 24462 33522 35964 36693 48924 50283 67044 73386 100566 146772 150849 201132 301698 452547 603396 905094 1357641 1810188 2715282 5430564