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54065040 = 2435474793
BaseRepresentation
bin1100111000111…
…1011110010000
310202201210021220
43032033132100
5102320040130
65210445040
71224355011
oct316173620
9122653256
1054065040
1128577957
1216133780
13b27c763
147275008
154b2e410
hex338f790

54065040 has 80 divisors (see below), whose sum is σ = 171203328. Its totient is φ = 14107648.

The previous prime is 54065027. The next prime is 54065107. The reversal of 54065040 is 4056045.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54065040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8884 + ... + 13676.

Almost surely, 254065040 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 54065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85601664).

54065040 is an abundant number, since it is smaller than the sum of its proper divisors (117138288).

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

54065040 is a wasteful number, since it uses less digits than its factorization.

54065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 54065040 is about 7352.8933080795. The cubic root of 54065040 is about 378.1280045751.

The spelling of 54065040 in words is "fifty-four million, sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 4793 5640 9586 11280 14379 19172 23965 28758 38344 47930 57516 71895 76688 95860 115032 143790 191720 225271 230064 287580 383440 450542 575160 675813 901084 1126355 1150320 1351626 1802168 2252710 2703252 3379065 3604336 4505420 5406504 6758130 9010840 10813008 13516260 18021680 27032520 54065040