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54096120 = 23335133853
BaseRepresentation
bin1100111001011…
…1000011111000
310202210100221000
43032113003320
5102322033440
65211245000
71224544431
oct316270370
9122710830
1054096120
1128599241
1216149760
13b290950
147282488
154b38730
hex33970f8

54096120 has 128 divisors (see below), whose sum is σ = 194241600. Its totient is φ = 13312512.

The previous prime is 54096101. The next prime is 54096121. The reversal of 54096120 is 2169045.

54096120 is a `hidden beast` number, since 5 + 40 + 9 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54096121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12114 + ... + 15966.

Almost surely, 254096120 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 54096120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97120800).

54096120 is an abundant number, since it is smaller than the sum of its proper divisors (140145480).

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

54096120 is a wasteful number, since it uses less digits than its factorization.

54096120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 54096120 is about 7355.0064581889. The cubic root of 54096120 is about 378.2004479823.

The spelling of 54096120 in words is "fifty-four million, ninety-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 3853 4680 7020 7706 11559 14040 15412 19265 23118 30824 34677 38530 46236 50089 57795 69354 77060 92472 100178 104031 115590 138708 150267 154120 173385 200356 208062 231180 250445 277416 300534 346770 400712 416124 450801 462360 500890 520155 601068 693540 751335 832248 901602 1001780 1040310 1202136 1352403 1387080 1502670 1803204 2003560 2080620 2254005 2704806 3005340 3606408 4161240 4508010 5409612 6010680 6762015 9016020 10819224 13524030 18032040 27048060 54096120