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540764 = 22723189
BaseRepresentation
bin10000100000001011100
31000110210022
42010001130
5114301024
615331312
74411400
oct2040134
91013708
10540764
1133a314
12220b38
1315c1a3
14101100
15aa35e
hex8405c

540764 has 36 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 221760.

The previous prime is 540751. The next prime is 540769. The reversal of 540764 is 467045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540769) by changing a digit.

540764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6032 + ... + 6120.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2540764 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 540764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

540764 is an abundant number, since it is smaller than the sum of its proper divisors (608356).

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

540764 is a wasteful number, since it uses less digits than its factorization.

540764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 540764 is about 735.3665752535. The cubic root of 540764 is about 81.4709143831.

The spelling of 540764 in words is "five hundred forty thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 49 62 89 98 124 178 196 217 356 434 623 868 1246 1519 2492 2759 3038 4361 5518 6076 8722 11036 17444 19313 38626 77252 135191 270382 540764