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54020160 = 2632518757
BaseRepresentation
bin1100111000010…
…0100001000000
310202122111201200
43032010201000
5102312121120
65205501200
71224110115
oct316044100
9122574650
1054020160
1128547167
1216111800
13b2651bc
14726290c
154b20e90
hex3384840

54020160 has 84 divisors (see below), whose sum is σ = 185816748. Its totient is φ = 14404608.

The previous prime is 54020149. The next prime is 54020167. The reversal of 54020160 is 6102045.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25887744 + 28132416 = 5088^2 + 5304^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (54020167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6499 + ... + 12258.

Almost surely, 254020160 is an apocalyptic number.

It is an amenable number.

54020160 is an abundant number, since it is smaller than the sum of its proper divisors (131796588).

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

54020160 is a wasteful number, since it uses less digits than its factorization.

54020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18780 (or 18767 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 54020160 is about 7349.8408146027. The cubic root of 54020160 is about 378.0233461687.

The spelling of 54020160 in words is "fifty-four million, twenty thousand, one 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 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 18757 37514 56271 75028 93785 112542 150056 168813 187570 225084 281355 300112 337626 375140 450168 562710 600224 675252 750280 844065 900336 1125420 1200448 1350504 1500560 1688130 1800672 2250840 2701008 3001120 3376260 3601344 4501680 5402016 6002240 6752520 9003360 10804032 13505040 18006720 27010080 54020160