Search a number
-
+
540792 = 233272937
BaseRepresentation
bin10000100000001111000
31000110211100
42010001320
5114301132
615331400
74411440
oct2040170
91013740
10540792
1133a33a
12220b60
1315c1c5
14101120
15aa37c
hex84078

540792 has 96 divisors (see below), whose sum is σ = 1778400. Its totient is φ = 145152.

The previous prime is 540781. The next prime is 540803. The reversal of 540792 is 297045.

It is an interprime number because it is at equal distance from previous prime (540781) and next prime (540803).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14598 + ... + 14634.

It is an arithmetic number, because the mean of its divisors is an integer number (18525).

2540792 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 540792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889200).

540792 is an abundant number, since it is smaller than the sum of its proper divisors (1237608).

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

540792 is a wasteful number, since it uses less digits than its factorization.

540792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 540792 is about 735.3856131310. The cubic root of 540792 is about 81.4723205087.

The spelling of 540792 in words is "five hundred forty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 37 42 56 58 63 72 74 84 87 111 116 126 148 168 174 203 222 232 252 259 261 296 333 348 406 444 504 518 522 609 666 696 777 812 888 1036 1044 1073 1218 1332 1554 1624 1827 2072 2088 2146 2331 2436 2664 3108 3219 3654 4292 4662 4872 6216 6438 7308 7511 8584 9324 9657 12876 14616 15022 18648 19314 22533 25752 30044 38628 45066 60088 67599 77256 90132 135198 180264 270396 540792