Search a number
-
+
36543420 = 22335313759
BaseRepresentation
bin1000101101100…
…1101110111100
32112202121011000
42023121232330
533323342140
63343130300
7622420404
oct213315674
975677130
1036543420
111969a681
12102a3990
137756434
144bd3804
15331ca30
hex22d9bbc

36543420 has 192 divisors, whose sum is σ = 122572800. Its totient is φ = 9020160.

The previous prime is 36543413. The next prime is 36543427. The reversal of 36543420 is 2434563.

36543420 is a `hidden beast` number, since 3 + 654 + 3 + 4 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36543413) and next prime (36543427).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36543427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619351 + ... + 619409.

It is an arithmetic number, because the mean of its divisors is an integer number (638400).

Almost surely, 236543420 is an apocalyptic number.

36543420 is a gapful number since it is divisible by the number (30) 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 36543420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61286400).

36543420 is an abundant number, since it is smaller than the sum of its proper divisors (86029380).

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

36543420 is a wasteful number, since it uses less digits than its factorization.

36543420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 36543420 is about 6045.1153835142. The cubic root of 36543420 is about 331.8458543143.

Adding to 36543420 its reverse (2434563), we get a palindrome (38977983).

It can be divided in two parts, 36543 and 420, that added together give a palindrome (36963).

The spelling of 36543420 in words is "thirty-six million, five hundred forty-three thousand, four hundred twenty".