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54100140 = 223523197199
BaseRepresentation
bin1100111001100…
…0000010101100
310202210120102220
43032120002230
5102322201030
65211315340
71224562233
oct316300254
9122716386
1054100140
11285a1266
121614bb50
13b292723
147283b1a
154b39a10
hex33980ac

54100140 has 96 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 13660416.

The previous prime is 54100139. The next prime is 54100141. The reversal of 54100140 is 4100145.

It is an interprime number because it is at equal distance from previous prime (54100139) and next prime (54100141).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (54100141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271761 + ... + 271959.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 254100140 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 54100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

54100140 is an abundant number, since it is smaller than the sum of its proper divisors (105567060).

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

54100140 is a wasteful number, since it uses less digits than its factorization.

54100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 54100140 is about 7355.2797363527. The cubic root of 54100140 is about 378.2098160488.

Adding to 54100140 its reverse (4100145), we get a palindrome (58200285).

The spelling of 54100140 in words is "fifty-four million, one hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 197 199 230 276 345 394 398 460 591 597 690 788 796 985 995 1182 1194 1380 1970 1990 2364 2388 2955 2985 3940 3980 4531 4577 5910 5970 9062 9154 11820 11940 13593 13731 18124 18308 22655 22885 27186 27462 39203 45310 45770 54372 54924 67965 68655 78406 90620 91540 117609 135930 137310 156812 196015 235218 271860 274620 392030 470436 588045 784060 901669 1176090 1803338 2352180 2705007 3606676 4508345 5410014 9016690 10820028 13525035 18033380 27050070 54100140