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54243360 = 25325139271
BaseRepresentation
bin1100111011101…
…1000000100000
310210001211220100
43032323000200
5102341241420
65214342400
71226026623
oct316730040
9123054810
1054243360
1128689926
12161baa00
13b312982
1472bddba
154b67190
hex33bb020

54243360 has 144 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 14307840.

The previous prime is 54243353. The next prime is 54243367. The reversal of 54243360 is 6334245.

It is an interprime number because it is at equal distance from previous prime (54243353) and next prime (54243367).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54243367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200025 + ... + 200295.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 254243360 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 54243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

54243360 is an abundant number, since it is smaller than the sum of its proper divisors (132881760).

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

54243360 is a wasteful number, since it uses less digits than its factorization.

54243360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 54243360 is about 7365.0091649637. The cubic root of 54243360 is about 378.5432685490.

The spelling of 54243360 in words is "fifty-four million, two hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 139 144 160 180 240 271 278 288 360 417 480 542 556 695 720 813 834 1084 1112 1251 1355 1390 1440 1626 1668 2085 2168 2224 2439 2502 2710 2780 3252 3336 4065 4170 4336 4448 4878 5004 5420 5560 6255 6504 6672 8130 8340 8672 9756 10008 10840 11120 12195 12510 13008 13344 16260 16680 19512 20016 21680 22240 24390 25020 26016 32520 33360 37669 39024 40032 43360 48780 50040 65040 66720 75338 78048 97560 100080 113007 130080 150676 188345 195120 200160 226014 301352 339021 376690 390240 452028 565035 602704 678042 753380 904056 1130070 1205408 1356084 1506760 1695105 1808112 2260140 2712168 3013520 3390210 3616224 4520280 5424336 6027040 6780420 9040560 10848672 13560840 18081120 27121680 54243360