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54131440 = 24511137449
BaseRepresentation
bin1100111001111…
…1101011110000
310202212011101011
43032133223300
5102324201230
65212120304
71225052416
oct316375360
9122764334
1054131440
1128612830
1216166094
13b2a3a4c
1472912b6
154b43e2a
hex339faf0

54131440 has 80 divisors (see below), whose sum is σ = 138607200. Its totient is φ = 19496960.

The previous prime is 54131431. The next prime is 54131447. The reversal of 54131440 is 4413145.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54131447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120336 + ... + 120784.

It is an arithmetic number, because the mean of its divisors is an integer number (1732590).

Almost surely, 254131440 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 54131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69303600).

54131440 is an abundant number, since it is smaller than the sum of its proper divisors (84475760).

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

54131440 is a wasteful number, since it uses less digits than its factorization.

54131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 54131440 is about 7357.4071519796. The cubic root of 54131440 is about 378.2827405982.

Adding to 54131440 its reverse (4413145), we get a palindrome (58544585).

The spelling of 54131440 in words is "fifty-four million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 137 176 220 274 440 449 548 685 880 898 1096 1370 1507 1796 2192 2245 2740 3014 3592 4490 4939 5480 6028 7184 7535 8980 9878 10960 12056 15070 17960 19756 24112 24695 30140 35920 39512 49390 60280 61513 79024 98780 120560 123026 197560 246052 307565 395120 492104 615130 676643 984208 1230260 1353286 2460520 2706572 3383215 4921040 5413144 6766430 10826288 13532860 27065720 54131440