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54166104 = 23332310903
BaseRepresentation
bin1100111010100…
…0001001011000
310202220220221000
43032220021120
5102331303404
65212545000
71225255446
oct316501130
9122826830
1054166104
1128636883
1216182160
13b2b6765
14729db96
154b4e339
hex33a8258

54166104 has 64 divisors (see below), whose sum is σ = 157017600. Its totient is φ = 17268768.

The previous prime is 54166103. The next prime is 54166121. The reversal of 54166104 is 40166145.

54166104 is a `hidden beast` number, since 5 + 41 + 6 + 610 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54166103) 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 15 ways as a sum of consecutive naturals, for example, 484 + ... + 10419.

It is an arithmetic number, because the mean of its divisors is an integer number (2453400).

Almost surely, 254166104 is an apocalyptic number.

54166104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54166104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78508800).

54166104 is an abundant number, since it is smaller than the sum of its proper divisors (102851496).

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

54166104 is a wasteful number, since it uses less digits than its factorization.

54166104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10941 (or 10931 counting only the distinct ones).

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

The square root of 54166104 is about 7359.7624961679. The cubic root of 54166104 is about 378.3634699914.

The spelling of 54166104 in words is "fifty-four million, one hundred sixty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 10903 21806 32709 43612 65418 87224 98127 130836 196254 250769 261672 294381 392508 501538 588762 752307 785016 1003076 1177524 1504614 2006152 2256921 2355048 3009228 4513842 6018456 6770763 9027684 13541526 18055368 27083052 54166104