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30054504 = 23317193877
BaseRepresentation
bin111001010100…
…1100001101000
32002112221000210
41302221201220
530143221004
62552101120
7513313314
oct162514150
962487023
1030054504
1115a68437
12a0947a0
1362c3a3c
143dc4b44
15298a089
hex1ca9868

30054504 has 64 divisors (see below), whose sum is σ = 83764800. Its totient is φ = 8930304.

The previous prime is 30054503. The next prime is 30054533. The reversal of 30054504 is 40545003.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30054503) 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, 5814 + ... + 9690.

It is an arithmetic number, because the mean of its divisors is an integer number (1308825).

Almost surely, 230054504 is an apocalyptic number.

30054504 is a gapful number since it is divisible by the number (34) 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 30054504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41882400).

30054504 is an abundant number, since it is smaller than the sum of its proper divisors (53710296).

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

30054504 is a wasteful number, since it uses less digits than its factorization.

30054504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 30054504 is about 5482.1988289372. The cubic root of 30054504 is about 310.9113107527.

Adding to 30054504 its reverse (40545003), we get a palindrome (70599507).

The spelling of 30054504 in words is "thirty million, fifty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3876 3877 7752 7754 11631 15508 23262 31016 46524 65909 73663 93048 131818 147326 197727 220989 263636 294652 395454 441978 527272 589304 790908 883956 1252271 1581816 1767912 2504542 3756813 5009084 7513626 10018168 15027252 30054504