Search a number
-
+
54420000 = 25354907
BaseRepresentation
bin1100111110011…
…0001000100000
310210101211012120
43033212020200
5102412420000
65222224240
71230363615
oct317461040
9123354176
1054420000
112879a608
1216285080
13b3751ab
14732850c
154b9e6a0
hex33e6220

54420000 has 120 divisors (see below), whose sum is σ = 178705296. Its totient is φ = 14496000.

The previous prime is 54419999. The next prime is 54420049. The reversal of 54420000 is 2445.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59547 + ... + 60453.

Almost surely, 254420000 is an apocalyptic number.

54420000 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 54420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89352648).

54420000 is an abundant number, since it is smaller than the sum of its proper divisors (124285296).

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

54420000 is an equidigital number, since it uses as much as digits as its factorization.

54420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 54420000 is about 7376.9912566032. The cubic root of 54420000 is about 378.9537239025.

Adding to 54420000 its reverse (2445), we get a palindrome (54422445).

The spelling of 54420000 in words is "fifty-four million, four hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 907 1000 1200 1250 1500 1814 1875 2000 2400 2500 2721 3000 3628 3750 4000 4535 5000 5442 6000 7256 7500 9070 10000 10884 12000 13605 14512 15000 18140 20000 21768 22675 27210 29024 30000 36280 43536 45350 54420 60000 68025 72560 87072 90700 108840 113375 136050 145120 181400 217680 226750 272100 340125 362800 435360 453500 544200 566875 680250 725600 907000 1088400 1133750 1360500 1700625 1814000 2176800 2267500 2721000 3401250 3628000 4535000 5442000 6802500 9070000 10884000 13605000 18140000 27210000 54420000