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366540 = 223541149
BaseRepresentation
bin1011001011111001100
3200121210120
41121133030
543212130
611504540
73054426
oct1313714
9617716
10366540
11230429
12158150
13caab5
1497816
1573910
hex597cc

366540 has 48 divisors (see below), whose sum is σ = 1058400. Its totient is φ = 94720.

The previous prime is 366521. The next prime is 366547. The reversal of 366540 is 45663.

366540 is nontrivially palindromic in base 9.

366540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 366540.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 366540.

It is not an unprimeable number, because it can be changed into a prime (366547) 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, 2386 + ... + 2534.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2366540 is an apocalyptic number.

366540 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 366540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529200).

366540 is an abundant number, since it is smaller than the sum of its proper divisors (691860).

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

366540 is a wasteful number, since it uses less digits than its factorization.

366540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 366540 is about 605.4254702273. The cubic root of 366540 is about 71.5660627950.

The spelling of 366540 in words is "three hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 149 164 205 246 298 410 447 492 596 615 745 820 894 1230 1490 1788 2235 2460 2980 4470 6109 8940 12218 18327 24436 30545 36654 61090 73308 91635 122180 183270 366540