[go: up one dir, main page]

Search a number
-
+
54035460 = 22325893373
BaseRepresentation
bin1100111000100…
…0010000000100
310202200021201100
43032020100010
5102313113320
65210100100
71224202533
oct316102004
9122607640
1054035460
1128557706
121611a630
13b26c15b
14726831a
154b25790
hex3388404

54035460 has 72 divisors (see below), whose sum is σ = 165798360. Its totient is φ = 14243328.

The previous prime is 54035453. The next prime is 54035467. The reversal of 54035460 is 6453045.

It is an interprime number because it is at equal distance from previous prime (54035453) and next prime (54035467).

It can be written as a sum of positive squares in 4 ways, for example, as 12278016 + 41757444 = 3504^2 + 6462^2 .

It is not an unprimeable number, because it can be changed into a prime (54035467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14334 + ... + 17706.

It is an arithmetic number, because the mean of its divisors is an integer number (2302755).

Almost surely, 254035460 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 54035460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82899180).

54035460 is an abundant number, since it is smaller than the sum of its proper divisors (111762900).

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

54035460 is a wasteful number, since it uses less digits than its factorization.

54035460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 54035460 is about 7350.8815797835. The cubic root of 54035460 is about 378.0590316809.

The spelling of 54035460 in words is "fifty-four million, thirty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 3373 4005 5340 6746 8010 10119 13492 16020 16865 20238 30357 33730 40476 50595 60714 67460 101190 121428 151785 202380 300197 303570 600394 607140 900591 1200788 1500985 1801182 2701773 3001970 3602364 4502955 5403546 6003940 9005910 10807092 13508865 18011820 27017730 54035460