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5430672 = 243313967
BaseRepresentation
bin10100101101110110010000
3101012220111000
4110231312100
52342240142
6312222000
764105602
oct24556620
911186430
105430672
11307a165
12199a900
131181b20
14a15172
1572414c
hex52dd90

5430672 has 80 divisors (see below), whose sum is σ = 16804480. Its totient is φ = 1669248.

The previous prime is 5430661. The next prime is 5430679. The reversal of 5430672 is 2760345.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5430679) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5133 + ... + 6099.

It is an arithmetic number, because the mean of its divisors is an integer number (210056).

Almost surely, 25430672 is an apocalyptic number.

5430672 is a gapful number since it is divisible by the number (52) 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 5430672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402240).

5430672 is an abundant number, since it is smaller than the sum of its proper divisors (11373808).

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

5430672 is a wasteful number, since it uses less digits than its factorization.

5430672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5430672 is about 2330.3802264867. The cubic root of 5430672 is about 175.7726057794.

The spelling of 5430672 in words is "five million, four hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 967 1404 1872 1934 2808 2901 3868 5616 5802 7736 8703 11604 12571 15472 17406 23208 25142 26109 34812 37713 46416 50284 52218 69624 75426 100568 104436 113139 139248 150852 201136 208872 226278 301704 339417 417744 452556 603408 678834 905112 1357668 1810224 2715336 5430672