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54087360 = 2635103547
BaseRepresentation
bin1100111001010…
…0111011000000
310202202220220120
43032110323000
5102321243420
65211140240
71224510045
oct316247300
9122686816
1054087360
11285926a8
1216144680
13b289972
14727d1cc
154b35d40
hex3394ec0

54087360 has 112 divisors (see below), whose sum is σ = 173711616. Its totient is φ = 14257152.

The previous prime is 54087331. The next prime is 54087361. The reversal of 54087360 is 6378045.

It is not an unprimeable number, because it can be changed into a prime (54087361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98607 + ... + 99153.

Almost surely, 254087360 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 54087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86855808).

54087360 is an abundant number, since it is smaller than the sum of its proper divisors (119624256).

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

54087360 is a wasteful number, since it uses less digits than its factorization.

54087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 54087360 is about 7354.4109213451. The cubic root of 54087360 is about 378.1800323791.

The spelling of 54087360 in words is "fifty-four million, eighty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 160 192 206 240 309 320 412 480 515 547 618 824 960 1030 1094 1236 1545 1641 1648 2060 2188 2472 2735 3090 3282 3296 4120 4376 4944 5470 6180 6564 6592 8205 8240 8752 9888 10940 12360 13128 16410 16480 17504 19776 21880 24720 26256 32820 32960 35008 43760 49440 52512 56341 65640 87520 98880 105024 112682 131280 169023 175040 225364 262560 281705 338046 450728 525120 563410 676092 845115 901456 1126820 1352184 1690230 1802912 2253640 2704368 3380460 3605824 4507280 5408736 6760920 9014560 10817472 13521840 18029120 27043680 54087360