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30123054 = 232132329193
BaseRepresentation
bin111001011101…
…0010000101110
32002200102001200
41302322100232
530202414204
62553350330
7514020213
oct162722056
962612050
1030123054
1116004995
12a1083a6
136318cc0
144001b0a
1529a0539
hex1cba42e

30123054 has 96 divisors (see below), whose sum is σ = 76265280. Its totient is φ = 8515584.

The previous prime is 30123053. The next prime is 30123061. The reversal of 30123054 is 45032103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30123053) 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 47 ways as a sum of consecutive naturals, for example, 155982 + ... + 156174.

It is an arithmetic number, because the mean of its divisors is an integer number (794430).

Almost surely, 230123054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30123054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38132640).

30123054 is an abundant number, since it is smaller than the sum of its proper divisors (46142226).

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

30123054 is a wasteful number, since it uses less digits than its factorization.

30123054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30123054 is about 5488.4473214198. The cubic root of 30123054 is about 311.1475125869.

Adding to 30123054 its reverse (45032103), we get a palindrome (75155157).

The spelling of 30123054 in words is "thirty million, one hundred twenty-three thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 23 26 29 39 46 58 69 78 87 117 138 174 193 207 234 261 299 377 386 414 522 579 598 667 754 897 1131 1158 1334 1737 1794 2001 2262 2509 2691 3393 3474 4002 4439 5018 5382 5597 6003 6786 7527 8671 8878 11194 12006 13317 15054 16791 17342 22581 26013 26634 33582 39951 45162 50373 52026 57707 72761 78039 79902 100746 115414 128731 145522 156078 173121 218283 257462 346242 386193 436566 519363 654849 772386 1038726 1158579 1309698 1673503 2317158 3347006 5020509 10041018 15061527 30123054