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54115000 = 235479137
BaseRepresentation
bin1100111001101…
…1101010111000
310202211022211021
43032123222320
5102323140000
65211512224
71224653452
oct316335270
9122738737
1054115000
1128601445
1216158674
13b299414
1472892d2
154b3e11a
hex339bab8

54115000 has 80 divisors (see below), whose sum is σ = 129333600. Its totient is φ = 21216000.

The previous prime is 54114989. The next prime is 54115003. The reversal of 54115000 is 51145.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54115003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 394932 + ... + 395068.

It is an arithmetic number, because the mean of its divisors is an integer number (1616670).

Almost surely, 254115000 is an apocalyptic number.

54115000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64666800).

54115000 is an abundant number, since it is smaller than the sum of its proper divisors (75218600).

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

54115000 is a wasteful number, since it uses less digits than its factorization.

54115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 54115000 is about 7356.2898257206. The cubic root of 54115000 is about 378.2444412418.

Adding to 54115000 its reverse (51145), we get a palindrome (54166145).

The spelling of 54115000 in words is "fifty-four million, one hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 137 158 200 250 274 316 395 500 548 625 632 685 790 1000 1096 1250 1370 1580 1975 2500 2740 3160 3425 3950 5000 5480 6850 7900 9875 10823 13700 15800 17125 19750 21646 27400 34250 39500 43292 49375 54115 68500 79000 85625 86584 98750 108230 137000 171250 197500 216460 270575 342500 395000 432920 541150 685000 1082300 1352875 2164600 2705750 5411500 6764375 10823000 13528750 27057500 54115000