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54062320 = 24513227229
BaseRepresentation
bin1100111000111…
…0110011110000
310202201122120011
43032032303300
5102314443240
65210424304
71224344044
oct316166360
9122648504
1054062320
1128575904
1216132094
13b27b450
147274024
154b2d6ea
hex338ecf0

54062320 has 80 divisors (see below), whose sum is σ = 136553760. Its totient is φ = 19786752.

The previous prime is 54062317. The next prime is 54062341. The reversal of 54062320 is 2326045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 54062291 and 54062300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235966 + ... + 236194.

It is an arithmetic number, because the mean of its divisors is an integer number (1706922).

Almost surely, 254062320 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 54062320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68276880).

54062320 is an abundant number, since it is smaller than the sum of its proper divisors (82491440).

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

54062320 is a wasteful number, since it uses less digits than its factorization.

54062320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 54062320 is about 7352.7083445490. The cubic root of 54062320 is about 378.1216632905.

Adding to 54062320 its reverse (2326045), we get a palindrome (56388365).

The spelling of 54062320 in words is "fifty-four million, sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 227 229 260 454 458 520 908 916 1040 1135 1145 1816 1832 2270 2290 2951 2977 3632 3664 4540 4580 5902 5954 9080 9160 11804 11908 14755 14885 18160 18320 23608 23816 29510 29770 47216 47632 51983 59020 59540 103966 118040 119080 207932 236080 238160 259915 415864 519830 675779 831728 1039660 1351558 2079320 2703116 3378895 4158640 5406232 6757790 10812464 13515580 27031160 54062320