Search a number
-
+
54132260 = 2257313607
BaseRepresentation
bin1100111001111…
…1111000100100
310202212012111112
43032133320210
5102324213020
65212124152
71225055000
oct316377044
9122765445
1054132260
1128613406
1216166658
13b2a4230
147291700
154b442c5
hex339fe24

54132260 has 96 divisors (see below), whose sum is σ = 143001600. Its totient is φ = 17103744.

The previous prime is 54132223. The next prime is 54132277. The reversal of 54132260 is 6223145.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88877 + ... + 89483.

It is an arithmetic number, because the mean of its divisors is an integer number (1489600).

Almost surely, 254132260 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 54132260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71500800).

54132260 is an abundant number, since it is smaller than the sum of its proper divisors (88869340).

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

54132260 is a wasteful number, since it uses less digits than its factorization.

54132260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 54132260 is about 7357.4628779220. The cubic root of 54132260 is about 378.2846507037.

The spelling of 54132260 in words is "fifty-four million, one hundred thirty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 343 364 455 490 607 637 686 910 980 1214 1274 1372 1715 1820 2428 2548 3035 3185 3430 4249 4459 6070 6370 6860 7891 8498 8918 12140 12740 15782 16996 17836 21245 22295 29743 31564 39455 42490 44590 55237 59486 78910 84980 89180 110474 118972 148715 157820 208201 220948 276185 297430 386659 416402 552370 594860 773318 832804 1041005 1104740 1546636 1933295 2082010 2706613 3866590 4164020 5413226 7733180 10826452 13533065 27066130 54132260