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540432 = 2435139
BaseRepresentation
bin10000011111100010000
31000110100000
42003330100
5114243212
615330000
74410414
oct2037420
91013300
10540432
1133a042
12220900
1315bca9
14100d44
15aa1dc
hex83f10

540432 has 60 divisors (see below), whose sum is σ = 1579760. Its totient is φ = 178848.

The previous prime is 540391. The next prime is 540433. The reversal of 540432 is 234045.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (540433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3819 + ... + 3957.

2540432 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 540432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789880).

540432 is an abundant number, since it is smaller than the sum of its proper divisors (1039328).

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

540432 is a wasteful number, since it uses less digits than its factorization.

540432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 540432 is about 735.1408028398. The cubic root of 540432 is about 81.4542380506.

Adding to 540432 its reverse (234045), we get a palindrome (774477).

It can be divided in two parts, 54043 and 2, that added together give a palindrome (54045).

The spelling of 540432 in words is "five hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 139 144 162 216 243 278 324 417 432 486 556 648 834 972 1112 1251 1296 1668 1944 2224 2502 3336 3753 3888 5004 6672 7506 10008 11259 15012 20016 22518 30024 33777 45036 60048 67554 90072 135108 180144 270216 540432