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54016830 = 23257179479
BaseRepresentation
bin1100111000001…
…1101100111110
310202122100011100
43032003230332
5102312014310
65205433530
71224064320
oct316035476
9122570140
1054016830
112854470a
121610b8a6
13b26382a
147261610
154b1eec0
hex3383b3e

54016830 has 96 divisors (see below), whose sum is σ = 161740800. Its totient is φ = 12252096.

The previous prime is 54016819. The next prime is 54016841. The reversal of 54016830 is 3861045.

It is an interprime number because it is at equal distance from previous prime (54016819) and next prime (54016841).

It is a junction number, because it is equal to n+sod(n) for n = 54016794 and 54016803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112531 + ... + 113009.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 254016830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54016830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80870400).

54016830 is an abundant number, since it is smaller than the sum of its proper divisors (107723970).

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

54016830 is a wasteful number, since it uses less digits than its factorization.

54016830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54016830 is about 7349.6142755930. The cubic root of 54016830 is about 378.0155784291.

Adding to 54016830 its reverse (3861045), we get a palindrome (57877875).

The spelling of 54016830 in words is "fifty-four million, sixteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 179 210 315 358 479 537 630 895 958 1074 1253 1437 1611 1790 2395 2506 2685 2874 3222 3353 3759 4311 4790 5370 6265 6706 7185 7518 8055 8622 10059 11277 12530 14370 16110 16765 18795 20118 21555 22554 30177 33530 37590 43110 50295 56385 60354 85741 100590 112770 150885 171482 257223 301770 428705 514446 600187 771669 857410 1200374 1286115 1543338 1800561 2572230 3000935 3601122 3858345 5401683 6001870 7716690 9002805 10803366 18005610 27008415 54016830