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54055540 = 22571123191
BaseRepresentation
bin1100111000110…
…1001001110100
310202201022021001
43032031021310
5102314234130
65210333044
71224315220
oct316151164
9122638231
1054055540
1128570800
121612a184
13b278336
147271780
154b2b6ca
hex338d274

54055540 has 72 divisors (see below), whose sum is σ = 142644096. Its totient is φ = 16843200.

The previous prime is 54055531. The next prime is 54055549. The reversal of 54055540 is 4555045.

54055540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54055531) and next prime (54055549).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 54055499 and 54055508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54055549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15345 + ... + 18535.

It is an arithmetic number, because the mean of its divisors is an integer number (1981168).

Almost surely, 254055540 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 54055540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71322048).

54055540 is an abundant number, since it is smaller than the sum of its proper divisors (88588556).

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

54055540 is a wasteful number, since it uses less digits than its factorization.

54055540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 54055540 is about 7352.2472754934. The cubic root of 54055540 is about 378.1058557801.

The spelling of 54055540 in words is "fifty-four million, fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3191 3388 4235 6382 8470 12764 15955 16940 22337 31910 35101 44674 63820 70202 89348 111685 140404 175505 223370 245707 351010 386111 446740 491414 702020 772222 982828 1228535 1544444 1930555 2457070 2702777 3861110 4914140 5405554 7722220 10811108 13513885 27027770 54055540