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30279128 = 23111811901
BaseRepresentation
bin111001110000…
…0010111011000
32002222100011012
41303200113120
530222413003
63000553052
7515240225
oct163402730
962870135
1030279128
1116101180
12a182788
136372059
14404294c
1529d18d8
hex1ce05d8

30279128 has 32 divisors (see below), whose sum is σ = 62309520. Its totient is φ = 13680000.

The previous prime is 30279127. The next prime is 30279131. The reversal of 30279128 is 82197203.

It is a junction number, because it is equal to n+sod(n) for n = 30279094 and 30279103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30279121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14978 + ... + 16878.

Almost surely, 230279128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30279128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31154760).

30279128 is an abundant number, since it is smaller than the sum of its proper divisors (32030392).

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

30279128 is a wasteful number, since it uses less digits than its factorization.

30279128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 30279128 is about 5502.6473628609. The cubic root of 30279128 is about 311.6839611528.

The spelling of 30279128 in words is "thirty million, two hundred seventy-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 181 362 724 1448 1901 1991 3802 3982 7604 7964 15208 15928 20911 41822 83644 167288 344081 688162 1376324 2752648 3784891 7569782 15139564 30279128