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128201382 = 23253612203
BaseRepresentation
bin1111010010000…
…11001010100110
322221020022020100
413221003022212
5230304421012
620415444530
73114456651
oct751031246
9287208210
10128201382
1166403661
1236b26746
1320738c0a
1413052898
15b3c58dc
hex7a432a6

128201382 has 48 divisors (see below), whose sum is σ = 287780688. Its totient is φ = 41221440.

The previous prime is 128201377. The next prime is 128201389. The reversal of 128201382 is 283102821.

128201382 is a `hidden beast` number, since 1 + 282 + 0 + 1 + 382 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128201389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57093 + ... + 59295.

It is an arithmetic number, because the mean of its divisors is an integer number (5995431).

Almost surely, 2128201382 is an apocalyptic number.

128201382 is an abundant number, since it is smaller than the sum of its proper divisors (159579306).

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

128201382 is a wasteful number, since it uses less digits than its factorization.

128201382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2322 counting only the distinct ones).

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

The square root of 128201382 is about 11322.6049122982. The cubic root of 128201382 is about 504.2325787863.

The spelling of 128201382 in words is "one hundred twenty-eight million, two hundred one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 53 61 106 122 159 183 318 366 477 549 954 1098 2203 3233 4406 6466 6609 9699 13218 19398 19827 29097 39654 58194 116759 134383 233518 268766 350277 403149 700554 806298 1050831 1209447 2101662 2418894 7122299 14244598 21366897 42733794 64100691 128201382