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5430300 = 2235223787
BaseRepresentation
bin10100101101110000011100
3101012212222020
4110231300130
52342232200
6312220140
764104531
oct24556034
911185866
105430300
113079957
12199a650
1311818c5
14a14d88
15723ea0
hex52dc1c

5430300 has 72 divisors (see below), whose sum is σ = 16415616. Its totient is φ = 1383360.

The previous prime is 5430289. The next prime is 5430307. The reversal of 5430300 is 30345.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5430300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430307) 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 23 ways as a sum of consecutive naturals, for example, 6507 + ... + 7293.

Almost surely, 25430300 is an apocalyptic number.

5430300 is a gapful number since it is divisible by the number (50) 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 5430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207808).

5430300 is an abundant number, since it is smaller than the sum of its proper divisors (10985316).

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

5430300 is a wasteful number, since it uses less digits than its factorization.

5430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 5430300 is about 2330.3004098184. The cubic root of 5430300 is about 175.7685922244.

Adding to 5430300 its reverse (30345), we get a palindrome (5460645).

The spelling of 5430300 in words is "five million, four hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 787 1150 1380 1574 1725 2300 2361 3148 3450 3935 4722 6900 7870 9444 11805 15740 18101 19675 23610 36202 39350 47220 54303 59025 72404 78700 90505 108606 118050 181010 217212 236100 271515 362020 452525 543030 905050 1086060 1357575 1810100 2715150 5430300