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54150 = 2352192
BaseRepresentation
bin1101001110000110
32202021120
431032012
53213100
61054410
7313605
oct151606
982246
1054150
1137758
1227406
131b855
1415a3c
15110a0
hexd386

54150 has 36 divisors (see below), whose sum is σ = 141732. Its totient is φ = 13680.

The previous prime is 54139. The next prime is 54151. The reversal of 54150 is 5145.

54150 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54150.

It is not an unprimeable number, because it can be changed into a prime (54151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2841 + ... + 2859.

It is an arithmetic number, because the mean of its divisors is an integer number (3937).

254150 is an apocalyptic number.

54150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70866).

54150 is an abundant number, since it is smaller than the sum of its proper divisors (87582).

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

54150 is a wasteful number, since it uses less digits than its factorization.

54150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 54150 is about 232.7015255644. The cubic root of 54150 is about 37.8325969483.

Adding to 54150 its reverse (5145), we get a palindrome (59295).

It can be divided in two parts, 54 and 150, that multiplied together give a square (8100 = 902).

The spelling of 54150 in words is "fifty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 361 475 570 722 950 1083 1425 1805 2166 2850 3610 5415 9025 10830 18050 27075 54150