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148085430 = 23519614259
BaseRepresentation
bin10001101001110…
…01101010110110
3101022122112000120
420310321222312
5300402213210
622405552410
73445463643
oct1064715266
9338575016
10148085430
1176654859
1241715706
13248ab61c
141594adca
15d002270
hex8d39ab6

148085430 has 64 divisors (see below), whose sum is σ = 380332800. Its totient is φ = 36789120.

The previous prime is 148085417. The next prime is 148085437. The reversal of 148085430 is 34580841.

148085430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 148085391 and 148085400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148085437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32641 + ... + 36899.

It is an arithmetic number, because the mean of its divisors is an integer number (5942700).

Almost surely, 2148085430 is an apocalyptic number.

148085430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148085430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190166400).

148085430 is an abundant number, since it is smaller than the sum of its proper divisors (232247370).

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

148085430 is a wasteful number, since it uses less digits than its factorization.

148085430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 148085430 is about 12169.0357054288. The cubic root of 148085430 is about 529.0590043092.

The spelling of 148085430 in words is "one hundred forty-eight million, eighty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 61 95 114 122 183 190 285 305 366 570 610 915 1159 1830 2318 3477 4259 5795 6954 8518 11590 12777 17385 21295 25554 34770 42590 63885 80921 127770 161842 242763 259799 404605 485526 519598 779397 809210 1213815 1298995 1558794 2427630 2597990 3896985 4936181 7793970 9872362 14808543 24680905 29617086 49361810 74042715 148085430