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4536540 = 2233531271
BaseRepresentation
bin10001010011100011011100
322112110222000
4101103203130
52130132130
6241122300
753363031
oct21234334
98473860
104536540
112619408
121629390
13c2ab58
14861388
155e9260
hex4538dc

4536540 has 96 divisors (see below), whose sum is σ = 14622720. Its totient is φ = 1166400.

The previous prime is 4536529. The next prime is 4536547. The reversal of 4536540 is 456354.

4536540 is a `hidden beast` number, since 4 + 5 + 3 + 654 + 0 = 666.

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 (4536547) 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 31 ways as a sum of consecutive naturals, for example, 16605 + ... + 16875.

It is an arithmetic number, because the mean of its divisors is an integer number (152320).

Almost surely, 24536540 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 4536540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7311360).

4536540 is an abundant number, since it is smaller than the sum of its proper divisors (10086180).

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

4536540 is a wasteful number, since it uses less digits than its factorization.

4536540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

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

The square root of 4536540 is about 2129.9154912813. The cubic root of 4536540 is about 165.5420191893.

It can be divided in two parts, 45 and 36540, that added together give a triangular number (36585 = T270).

The spelling of 4536540 in words is "four million, five hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 271 279 310 372 465 540 542 558 620 813 837 930 1084 1116 1355 1395 1626 1674 1860 2439 2710 2790 3252 3348 4065 4185 4878 5420 5580 7317 8130 8370 8401 9756 12195 14634 16260 16740 16802 24390 25203 29268 33604 36585 42005 48780 50406 73170 75609 84010 100812 126015 146340 151218 168020 226827 252030 302436 378045 453654 504060 756090 907308 1134135 1512180 2268270 4536540