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54215140 = 225723113149
BaseRepresentation
bin1100111011010…
…0000111100100
310210000102012011
43032310013210
5102334341030
65214004004
71225551430
oct316640744
9123012164
1054215140
112866a701
12161a6604
13b302b85
1472b39c0
154b5db2a
hex33b41e4

54215140 has 96 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 17504256.

The previous prime is 54215137. The next prime is 54215141. The reversal of 54215140 is 4151245.

54215140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54215141) 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, 363786 + ... + 363934.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 254215140 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 54215140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

54215140 is an abundant number, since it is smaller than the sum of its proper divisors (83679260).

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

54215140 is a wasteful number, since it uses less digits than its factorization.

54215140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 54215140 is about 7363.0931000497. The cubic root of 54215140 is about 378.4776117013.

Adding to 54215140 its reverse (4151245), we get a palindrome (58366385).

The spelling of 54215140 in words is "fifty-four million, two hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 113 115 140 149 161 226 230 298 322 452 460 565 596 644 745 791 805 1043 1130 1490 1582 1610 2086 2260 2599 2980 3164 3220 3427 3955 4172 5198 5215 6854 7910 10396 10430 12995 13708 15820 16837 17135 18193 20860 23989 25990 33674 34270 36386 47978 51980 67348 68540 72772 84185 90965 95956 117859 119945 168370 181930 235718 239890 336740 363860 387251 471436 479780 589295 774502 1178590 1549004 1936255 2357180 2710757 3872510 5421514 7745020 10843028 13553785 27107570 54215140