Search a number
-
+
54212640 = 2535532131
BaseRepresentation
bin1100111011001…
…1100000100000
310210000021202120
43032303200200
5102334301030
65213544240
71225541226
oct316634040
9123007676
1054212640
1128668839
12161a5080
13b3019b1
1472b2b16
154b5d010
hex33b3820

54212640 has 96 divisors (see below), whose sum is σ = 174073536. Its totient is φ = 14177280.

The previous prime is 54212603. The next prime is 54212657. The reversal of 54212640 is 4621245.

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

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 54212640.

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 15 ways as a sum of consecutive naturals, for example, 24375 + ... + 26505.

It is an arithmetic number, because the mean of its divisors is an integer number (1813266).

Almost surely, 254212640 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 54212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87036768).

54212640 is an abundant number, since it is smaller than the sum of its proper divisors (119860896).

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

54212640 is a wasteful number, since it uses less digits than its factorization.

54212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 54212640 is about 7362.9233324815. The cubic root of 54212640 is about 378.4717940854.

Adding to 54212640 its reverse (4621245), we get a palindrome (58833885).

The spelling of 54212640 in words is "fifty-four million, two hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2131 2544 3180 4240 4262 5088 6360 6393 8480 8524 10655 12720 12786 17048 21310 25440 25572 31965 34096 42620 51144 63930 68192 85240 102288 112943 127860 170480 204576 225886 255720 338829 340960 451772 511440 564715 677658 903544 1022880 1129430 1355316 1694145 1807088 2258860 2710632 3388290 3614176 4517720 5421264 6776580 9035440 10842528 13553160 18070880 27106320 54212640