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542100324 = 2231953113397
BaseRepresentation
bin100000010011111…
…100101101100100
31101210001112211210
4200103330231210
52102234202244
6125443031420
716301530263
oct4023745544
91353045753
10542100324
11259001aa7
1213166b570
138840592c
1451dd45da
15328d24b9
hex204fcb64

542100324 has 96 divisors (see below), whose sum is σ = 1372049280. Its totient is φ = 166053888.

The previous prime is 542100323. The next prime is 542100329. The reversal of 542100324 is 423001245.

It is a super-2 number, since 2×5421003242 = 587745522561809952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 542100324.

It is not an unprimeable number, because it can be changed into a prime (542100323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365294 + ... + 1365690.

It is an arithmetic number, because the mean of its divisors is an integer number (14292180).

Almost surely, 2542100324 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 542100324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686024640).

542100324 is an abundant number, since it is smaller than the sum of its proper divisors (829948956).

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

542100324 is a wasteful number, since it uses less digits than its factorization.

542100324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 542100324 is about 23283.0479963427. The cubic root of 542100324 is about 815.3796888430.

Adding to 542100324 its reverse (423001245), we get a palindrome (965101569).

The spelling of 542100324 in words is "five hundred forty-two million, one hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 113 114 159 212 226 228 318 339 397 452 636 678 794 1007 1191 1356 1588 2014 2147 2382 3021 4028 4294 4764 5989 6042 6441 7543 8588 11978 12084 12882 15086 17967 21041 22629 23956 25764 30172 35934 42082 44861 45258 63123 71868 84164 89722 90516 113791 126246 134583 179444 227582 252492 269166 341373 399779 455164 538332 682746 799558 852359 1199337 1365492 1599116 1704718 2377633 2398674 2557077 3409436 4755266 4797348 5114154 7132899 9510532 10228308 14265798 28531596 45175027 90350054 135525081 180700108 271050162 542100324