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54520320 = 293531229
BaseRepresentation
bin1100111111111…
…0101000000000
310210120220211010
43033332220000
5102424122240
65224320520
71231262241
oct317765000
9123526733
1054520320
1128858a18
1216313140
13b3aba5a
147352cc8
154bbe280
hex33fea00

54520320 has 160 divisors (see below), whose sum is σ = 180702720. Its totient is φ = 14008320.

The previous prime is 54520313. The next prime is 54520337. The reversal of 54520320 is 2302545.

54520320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 237966 + ... + 238194.

It is an arithmetic number, because the mean of its divisors is an integer number (1129392).

Almost surely, 254520320 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 54520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90351360).

54520320 is an abundant number, since it is smaller than the sum of its proper divisors (126182400).

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

54520320 is a wasteful number, since it uses less digits than its factorization.

54520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 54520320 is about 7383.7876459172. The cubic root of 54520320 is about 379.1864404345.

Adding to 54520320 its reverse (2302545), we get a palindrome (56822865).

The spelling of 54520320 in words is "fifty-four million, five hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 229 240 248 256 310 320 372 384 458 465 480 496 512 620 640 687 744 768 916 930 960 992 1145 1240 1280 1374 1488 1536 1832 1860 1920 1984 2290 2480 2560 2748 2976 3435 3664 3720 3840 3968 4580 4960 5496 5952 6870 7099 7328 7440 7680 7936 9160 9920 10992 11904 13740 14198 14656 14880 15872 18320 19840 21297 21984 23808 27480 28396 29312 29760 35495 36640 39680 42594 43968 47616 54960 56792 58624 59520 70990 73280 79360 85188 87936 106485 109920 113584 117248 119040 141980 146560 170376 175872 212970 219840 227168 238080 283960 293120 340752 351744 425940 439680 454336 567920 586240 681504 851880 879360 908672 1135840 1363008 1703760 1758720 1817344 2271680 2726016 3407520 3634688 4543360 5452032 6815040 9086720 10904064 13630080 18173440 27260160 54520320