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542124 = 223211372
BaseRepresentation
bin10000100010110101100
31000112122200
42010112230
5114321444
615341500
74415352
oct2042654
91015580
10542124
11340340
12221890
1315c9ab
141017d2
15aa969
hex845ac

542124 has 54 divisors (see below), whose sum is σ = 1536444. Its totient is φ = 159840.

The previous prime is 542123. The next prime is 542131. The reversal of 542124 is 421245.

542124 is a `hidden beast` number, since 542 + 124 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 542097 and 542106.

It is not an unprimeable number, because it can be changed into a prime (542123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14634 + ... + 14670.

2542124 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 542124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768222).

542124 is an abundant number, since it is smaller than the sum of its proper divisors (994320).

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

542124 is a wasteful number, since it uses less digits than its factorization.

542124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 542124 is about 736.2907034589. The cubic root of 542124 is about 81.5391559123.

Adding to 542124 its reverse (421245), we get a palindrome (963369).

It can be divided in two parts, 5421 and 24, that added together give a palindrome (5445).

The spelling of 542124 in words is "five hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1369 1628 2442 2738 3663 4107 4884 5476 7326 8214 12321 14652 15059 16428 24642 30118 45177 49284 60236 90354 135531 180708 271062 542124