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30148128 = 2532104681
BaseRepresentation
bin111001100000…
…0011000100000
32002201200110100
41303000120200
530204220003
62554102400
7514153263
oct163003040
962650410
1030148128
111602180a
12a11aa00
13632753a
14400acda
1529a7ba3
hex1cc0620

30148128 has 36 divisors (see below), whose sum is σ = 85734558. Its totient is φ = 10049280.

The previous prime is 30148121. The next prime is 30148133. The reversal of 30148128 is 82184103.

It can be written as a sum of positive squares in only one way, i.e., 27751824 + 2396304 = 5268^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (30148121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52053 + ... + 52628.

Almost surely, 230148128 is an apocalyptic number.

It is an amenable number.

30148128 is an abundant number, since it is smaller than the sum of its proper divisors (55586430).

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

30148128 is a wasteful number, since it uses less digits than its factorization.

30148128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104697 (or 104686 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 30148128 is about 5490.7310988611. The cubic root of 30148128 is about 311.2338202263.

It can be divided in two parts, 30148 and 128, that added together give a square (30276 = 1742).

The spelling of 30148128 in words is "thirty million, one hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 104681 209362 314043 418724 628086 837448 942129 1256172 1674896 1884258 2512344 3349792 3768516 5024688 7537032 10049376 15074064 30148128