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30105504 = 253211131743
BaseRepresentation
bin111001011010…
…1111110100000
32002122111222200
41302311332200
530201334004
62553133200
7513615102
oct162657640
962574880
1030105504
1115aa2790
12a0ba200
136311010
143dd9572
15299a239
hex1cb5fa0

30105504 has 288 divisors, whose sum is σ = 108972864. Its totient is φ = 7741440.

The previous prime is 30105499. The next prime is 30105529. The reversal of 30105504 is 40550103.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 700107 + ... + 700149.

It is an arithmetic number, because the mean of its divisors is an integer number (378378).

Almost surely, 230105504 is an apocalyptic number.

30105504 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 30105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54486432).

30105504 is an abundant number, since it is smaller than the sum of its proper divisors (78867360).

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

30105504 is a wasteful number, since it uses less digits than its factorization.

30105504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 30105504 is about 5486.8482756497. The cubic root of 30105504 is about 311.0870749382.

Adding to 30105504 its reverse (40550103), we get a palindrome (70655607).

The spelling of 30105504 in words is "thirty million, one hundred five thousand, five hundred four".