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542430 = 23357241
BaseRepresentation
bin10000100011011011110
31000120002000
42010123132
5114324210
615343130
74416300
oct2043336
91016060
10542430
11340599
12221aa6
1315cb85
14101970
15aaac0
hex846de

542430 has 96 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 120960.

The previous prime is 542401. The next prime is 542441. The reversal of 542430 is 34245.

It is a happy number.

542430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 5 + 45 + 47 + 219 + 36 + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13210 + ... + 13250.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2542430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

542430 is an abundant number, since it is smaller than the sum of its proper divisors (1181250).

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

542430 is a wasteful number, since it uses less digits than its factorization.

542430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

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

The square root of 542430 is about 736.4984725035. The cubic root of 542430 is about 81.5544945241.

542430 divided by its sum of digits (18) gives a triangular number (30135 = T245).

Adding to 542430 its reverse (34245), we get a palindrome (576675).

The spelling of 542430 in words is "five hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 49 54 63 70 82 90 98 105 123 126 135 147 189 205 210 245 246 270 287 294 315 369 378 410 441 490 574 615 630 735 738 861 882 945 1107 1230 1323 1435 1470 1722 1845 1890 2009 2205 2214 2583 2646 2870 3690 4018 4305 4410 5166 5535 6027 6615 7749 8610 10045 11070 12054 12915 13230 15498 18081 20090 25830 30135 36162 38745 54243 60270 77490 90405 108486 180810 271215 542430