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54131040 = 2532537591
BaseRepresentation
bin1100111001111…
…1100101100000
310202212010211100
43032133211200
5102324143130
65212114400
71225051305
oct316374540
9122763740
1054131040
11286124a7
1216165a00
13b2a3802
1472910ac
154b43c60
hex339f960

54131040 has 72 divisors (see below), whose sum is σ = 184727088. Its totient is φ = 14434560.

The previous prime is 54131027. The next prime is 54131041. The reversal of 54131040 is 4013145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54131041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17356 + ... + 20235.

It is an arithmetic number, because the mean of its divisors is an integer number (2565654).

Almost surely, 254131040 is an apocalyptic number.

It is an amenable number.

54131040 is an abundant number, since it is smaller than the sum of its proper divisors (130596048).

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

54131040 is a wasteful number, since it uses less digits than its factorization.

54131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37612 (or 37601 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 54131040 is about 7357.3799684399. The cubic root of 54131040 is about 378.2818088324.

Adding to 54131040 its reverse (4013145), we get a palindrome (58144185).

The spelling of 54131040 in words is "fifty-four million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 37591 75182 112773 150364 187955 225546 300728 338319 375910 451092 563865 601456 676638 751820 902184 1127730 1202912 1353276 1503640 1691595 1804368 2255460 2706552 3007280 3383190 3608736 4510920 5413104 6014560 6766380 9021840 10826208 13532760 18043680 27065520 54131040