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54130320 = 2432575181
BaseRepresentation
bin1100111001111…
…1011010010000
310202212002211200
43032133122100
5102324132240
65212111200
71225046226
oct316373220
9122762750
1054130320
1128611a02
1216165500
13b2a339a
147290b16
154b43930
hex339f690

54130320 has 60 divisors (see below), whose sum is σ = 181790076. Its totient is φ = 14434560.

The previous prime is 54130313. The next prime is 54130343. The reversal of 54130320 is 2303145.

It can be written as a sum of positive squares in 2 ways, for example, as 26378496 + 27751824 = 5136^2 + 5268^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 54130293 and 54130302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36871 + ... + 38310.

Almost surely, 254130320 is an apocalyptic number.

It is an amenable number.

54130320 is an abundant number, since it is smaller than the sum of its proper divisors (127659756).

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

54130320 is a wasteful number, since it uses less digits than its factorization.

54130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75200 (or 75191 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 54130320 is about 7357.3310378153. The cubic root of 54130320 is about 378.2801316424.

Adding to 54130320 its reverse (2303145), we get a palindrome (56433465).

The spelling of 54130320 in words is "fifty-four million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 75181 150362 225543 300724 375905 451086 601448 676629 751810 902172 1127715 1202896 1353258 1503620 1804344 2255430 2706516 3007240 3383145 3608688 4510860 5413032 6014480 6766290 9021720 10826064 13532580 18043440 27065160 54130320