Search a number
-
+
54090240 = 29357043
BaseRepresentation
bin1100111001010…
…1101000000000
310202210001212020
43032111220000
5102321341430
65211201440
71224521331
oct316255000
9122701766
1054090240
1128594886
1216146280
13b28b079
147280288
154b36b10
hex3395a00

54090240 has 80 divisors (see below), whose sum is σ = 172944288. Its totient is φ = 14422016.

The previous prime is 54090217. The next prime is 54090271. The reversal of 54090240 is 4209045.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54090240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4159 + ... + 11201.

Almost surely, 254090240 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 54090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86472144).

54090240 is an abundant number, since it is smaller than the sum of its proper divisors (118854048).

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

54090240 is an equidigital number, since it uses as much as digits as its factorization.

54090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7069 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 54090240 is about 7354.6067196010. The cubic root of 54090240 is about 378.1867446014.

Adding to 54090240 its reverse (4209045), we get a palindrome (58299285).

The spelling of 54090240 in words is "fifty-four million, ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7043 7680 14086 21129 28172 35215 42258 56344 70430 84516 105645 112688 140860 169032 211290 225376 281720 338064 422580 450752 563440 676128 845160 901504 1126880 1352256 1690320 1803008 2253760 2704512 3380640 3606016 4507520 5409024 6761280 9015040 10818048 13522560 18030080 27045120 54090240