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54150240 = 2535373049
BaseRepresentation
bin1100111010010…
…0010001100000
310202220010011110
43032210101200
5102330301430
65212343320
71225161264
oct316442140
9122803143
1054150240
1128625971
1216174b40
13b2ac481
1472980a4
154b497b0
hex33a4460

54150240 has 96 divisors (see below), whose sum is σ = 175240800. Its totient is φ = 14045184.

The previous prime is 54150233. The next prime is 54150269. The reversal of 54150240 is 4205145.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16236 + ... + 19284.

It is an arithmetic number, because the mean of its divisors is an integer number (1825425).

Almost surely, 254150240 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 54150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87620400).

54150240 is an abundant number, since it is smaller than the sum of its proper divisors (121090560).

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

54150240 is a wasteful number, since it uses less digits than its factorization.

54150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 54150240 is about 7358.6846650743. The cubic root of 54150240 is about 378.3265284128.

Adding to 54150240 its reverse (4205145), we get a palindrome (58355385).

The spelling of 54150240 in words is "fifty-four million, one hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3049 3552 4440 5920 6098 8880 9147 12196 15245 17760 18294 24392 30490 36588 45735 48784 60980 73176 91470 97568 112813 121960 146352 182940 225626 243920 292704 338439 365880 451252 487840 564065 676878 731760 902504 1128130 1353756 1463520 1692195 1805008 2256260 2707512 3384390 3610016 4512520 5415024 6768780 9025040 10830048 13537560 18050080 27075120 54150240