Search a number
-
+
545124460 = 225313372609
BaseRepresentation
bin100000011111011…
…111000001101100
31101222202012011211
4200133133001230
52104022440320
6130031524204
716336324066
oct4037370154
91358665154
10545124460
1125a788091
12132689664
1388c2426a
1452580736
1532ccd55a
hex207df06c

545124460 has 48 divisors (see below), whose sum is σ = 1185649920. Its totient is φ = 210309120.

The previous prime is 545124457. The next prime is 545124467. The reversal of 545124460 is 64421545.

It is a happy number.

545124460 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 (31).

It is not an unprimeable number, because it can be changed into a prime (545124467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207636 + ... + 210244.

It is an arithmetic number, because the mean of its divisors is an integer number (24701040).

Almost surely, 2545124460 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 545124460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592824960).

545124460 is an abundant number, since it is smaller than the sum of its proper divisors (640525460).

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

545124460 is a wasteful number, since it uses less digits than its factorization.

545124460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 545124460 is about 23347.9005480150. The cubic root of 545124460 is about 816.8930913656.

The spelling of 545124460 in words is "five hundred forty-five million, one hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 337 620 674 1348 1685 2609 3370 5218 6740 10436 10447 13045 20894 26090 41788 52180 52235 80879 104470 161758 208940 323516 404395 808790 879233 1617580 1758466 3516932 4396165 8792330 17584660 27256223 54512446 109024892 136281115 272562230 545124460