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540936 = 233211683
BaseRepresentation
bin10000100000100001000
31000111000200
42010010020
5114302221
615332200
74412034
oct2040410
91014020
10540936
1133a460
12221060
1315c2a6
141011c4
15aa426
hex84108

540936 has 48 divisors (see below), whose sum is σ = 1600560. Its totient is φ = 163680.

The previous prime is 540907. The next prime is 540961. The reversal of 540936 is 639045.

It is a happy number.

It is a super-2 number, since 2×5409362 = 585223512192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451 + ... + 1133.

It is an arithmetic number, because the mean of its divisors is an integer number (33345).

2540936 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 540936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800280).

540936 is an abundant number, since it is smaller than the sum of its proper divisors (1059624).

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

540936 is a wasteful number, since it uses less digits than its factorization.

540936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 540936 is about 735.4835144312. The cubic root of 540936 is about 81.4795512450.

It can be divided in two parts, 5409 and 36, that added together give a palindrome (5445).

The spelling of 540936 in words is "five hundred forty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 683 792 1366 2049 2732 4098 5464 6147 7513 8196 12294 15026 16392 22539 24588 30052 45078 49176 60104 67617 90156 135234 180312 270468 540936