Search a number
-
+
54141540 = 22352339233
BaseRepresentation
bin1100111010001…
…0001001100100
310202212200020020
43032202021210
5102330012130
65212235140
71225124025
oct316421144
9122780206
1054141540
112861a382
121616bab0
13b2a851b
147294c4c
154b46e10
hex33a2264

54141540 has 48 divisors (see below), whose sum is σ = 158191488. Its totient is φ = 13809664.

The previous prime is 54141539. The next prime is 54141541. The reversal of 54141540 is 4514145.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54141539) and next prime (54141541).

It is a self number, because there is not a number n which added to its sum of digits gives 54141540.

It is not an unprimeable number, because it can be changed into a prime (54141541) by changing a digit.

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, 18237 + ... + 20996.

It is an arithmetic number, because the mean of its divisors is an integer number (3295656).

Almost surely, 254141540 is an apocalyptic number.

It is an amenable number.

54141540 is an abundant number, since it is smaller than the sum of its proper divisors (104049948).

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

54141540 is a wasteful number, since it uses less digits than its factorization.

54141540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39268 (or 39266 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 54141540 is about 7358.0935030754. The cubic root of 54141540 is about 378.3062661629.

Adding to 54141540 its reverse (4514145), we get a palindrome (58655685).

The spelling of 54141540 in words is "fifty-four million, one hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 39233 78466 117699 156932 196165 235398 392330 470796 588495 784660 902359 1176990 1804718 2353980 2707077 3609436 4511795 5414154 9023590 10828308 13535385 18047180 27070770 54141540