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128098836 = 2232191371367
BaseRepresentation
bin1111010001010…
…10001000010100
322221001002120100
413220222020110
5230243130321
620413334100
73113551665
oct750521024
9287032510
10128098836
1166343608
1236a97330
1320701338
141302736c
15b3a5326
hex7a2a214

128098836 has 72 divisors (see below), whose sum is σ = 343586880. Its totient is φ = 40127616.

The previous prime is 128098819. The next prime is 128098837. The reversal of 128098836 is 638890821.

It is a junction number, because it is equal to n+sod(n) for n = 128098791 and 128098800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128098837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93025 + ... + 94391.

It is an arithmetic number, because the mean of its divisors is an integer number (4772040).

Almost surely, 2128098836 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 128098836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171793440).

128098836 is an abundant number, since it is smaller than the sum of its proper divisors (215488044).

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

128098836 is a wasteful number, since it uses less digits than its factorization.

128098836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 128098836 is about 11318.0756314844. The cubic root of 128098836 is about 504.0981007075.

The spelling of 128098836 in words is "one hundred twenty-eight million, ninety-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 137 171 228 274 342 411 548 684 822 1233 1367 1644 2466 2603 2734 4101 4932 5206 5468 7809 8202 10412 12303 15618 16404 23427 24606 25973 31236 46854 49212 51946 77919 93708 103892 155838 187279 233757 311676 374558 467514 561837 749116 935028 1123674 1685511 2247348 3371022 3558301 6742044 7116602 10674903 14233204 21349806 32024709 42699612 64049418 128098836