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30024054 = 2334171191
BaseRepresentation
bin111001010001…
…0000101110110
32002111101021000
41302202011312
530141232204
62551304130
7513125454
oct162420566
962441230
1030024054
1115a47575
12a07b046
1362b2c18
143db79d4
152981039
hex1ca2176

30024054 has 64 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 9576000.

The previous prime is 30024011. The next prime is 30024083. The reversal of 30024054 is 45042003.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157099 + ... + 157289.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 230024054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30024054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

30024054 is an abundant number, since it is smaller than the sum of its proper divisors (39648906).

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

30024054 is a wasteful number, since it uses less digits than its factorization.

30024054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 30024054 is about 5479.4209548090. The cubic root of 30024054 is about 310.8062743773.

Adding to 30024054 its reverse (45042003), we get a palindrome (75066057).

It can be divided in two parts, 3002 and 4054, that added together give a square (7056 = 842).

The spelling of 30024054 in words is "thirty million, twenty-four thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 41 54 71 82 123 142 191 213 246 369 382 426 573 639 738 1107 1146 1278 1719 1917 2214 2911 3438 3834 5157 5822 7831 8733 10314 13561 15662 17466 23493 26199 27122 40683 46986 52398 70479 78597 81366 122049 140958 157194 211437 244098 366147 422874 556001 732294 1112002 1668003 3336006 5004009 10008018 15012027 30024054