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54420080 = 24511136771
BaseRepresentation
bin1100111110011…
…0001001110000
310210101211022112
43033212021300
5102412420310
65222224452
71230364061
oct317461160
9123354275
1054420080
112879a680
1216285128
13b375240
147328568
154b9e705
hex33e6270

54420080 has 160 divisors (see below), whose sum is σ = 152990208. Its totient is φ = 17740800.

The previous prime is 54420071. The next prime is 54420083. The reversal of 54420080 is 8002445.

54420080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54420083) 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 31 ways as a sum of consecutive naturals, for example, 766445 + ... + 766515.

Almost surely, 254420080 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 54420080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76495104).

54420080 is an abundant number, since it is smaller than the sum of its proper divisors (98570128).

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

54420080 is a wasteful number, since it uses less digits than its factorization.

54420080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 54420080 is about 7376.9966788660. The cubic root of 54420080 is about 378.9539095958.

The spelling of 54420080 in words is "fifty-four million, four hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 67 71 80 88 104 110 130 134 142 143 176 208 220 260 268 284 286 335 355 440 520 536 568 572 670 710 715 737 781 871 880 923 1040 1072 1136 1144 1340 1420 1430 1474 1562 1742 1846 2288 2680 2840 2860 2948 3124 3484 3685 3692 3905 4355 4615 4757 5360 5680 5720 5896 6248 6968 7370 7384 7810 8710 9230 9514 9581 10153 11440 11792 12496 13936 14740 14768 15620 17420 18460 19028 19162 20306 23785 29480 31240 34840 36920 38056 38324 40612 47570 47905 50765 52327 58960 61841 62480 69680 73840 76112 76648 81224 95140 95810 101530 104654 123682 153296 162448 190280 191620 203060 209308 247364 261635 309205 380560 383240 406120 418616 494728 523270 618410 680251 766480 812240 837232 989456 1046540 1236820 1360502 2093080 2473640 2721004 3401255 4186160 4947280 5442008 6802510 10884016 13605020 27210040 54420080