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54060880 = 245739257
BaseRepresentation
bin1100111000111…
…0011101010000
310202201120120211
43032032131100
5102314422010
65210413504
71224336616
oct316163520
9122646524
1054060880
1128574815
1216131294
13b27a8b3
1472736b6
154b2d08a
hex338e750

54060880 has 40 divisors (see below), whose sum is σ = 127427112. Its totient is φ = 21325824.

The previous prime is 54060859. The next prime is 54060883. The reversal of 54060880 is 8806045.

54060880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 53640976 = 648^2 + 7324^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54060883) 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 7 ways as a sum of consecutive naturals, for example, 1212 + ... + 10468.

Almost surely, 254060880 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 54060880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63713556).

54060880 is an abundant number, since it is smaller than the sum of its proper divisors (73366232).

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

54060880 is a wasteful number, since it uses less digits than its factorization.

54060880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343 (or 9337 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 54060880 is about 7352.6104207961. The cubic root of 54060880 is about 378.1183060537.

The spelling of 54060880 in words is "fifty-four million, sixty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 9257 18514 37028 46285 74056 92570 148112 185140 370280 675761 740560 1351522 2703044 3378805 5406088 6757610 10812176 13515220 27030440 54060880