Search a number
-
+
54073440 = 2533512517
BaseRepresentation
bin1100111001000…
…1100001100000
310202202012211000
43032101201200
5102320322230
65210552000
71224421341
oct316214140
9122665730
1054073440
11285831a3
1216138600
13b283525
1472780c8
154b31b60
hex3391860

54073440 has 96 divisors (see below), whose sum is σ = 189272160. Its totient is φ = 14418432.

The previous prime is 54073433. The next prime is 54073477. The reversal of 54073440 is 4437045.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939 + ... + 10578.

It is an arithmetic number, because the mean of its divisors is an integer number (1971585).

Almost surely, 254073440 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 54073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94636080).

54073440 is an abundant number, since it is smaller than the sum of its proper divisors (135198720).

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

54073440 is a wasteful number, since it uses less digits than its factorization.

54073440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 54073440 is about 7353.4644896130. The cubic root of 54073440 is about 378.1475866116.

The spelling of 54073440 in words is "fifty-four million, seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 12517 25034 37551 50068 62585 75102 100136 112653 125170 150204 187755 200272 225306 250340 300408 337959 375510 400544 450612 500680 563265 600816 675918 751020 901224 1001360 1126530 1201632 1351836 1502040 1689795 1802448 2002720 2253060 2703672 3004080 3379590 3604896 4506120 5407344 6008160 6759180 9012240 10814688 13518360 18024480 27036720 54073440