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128552112 = 243213431597
BaseRepresentation
bin1111010100110…
…00110010110000
322221220010100100
413222120302300
5230402131422
620431152400
73120450333
oct752306260
9287803310
10128552112
1166623117
1237075700
132082c750
141310461a
15b4447ac
hex7a98cb0

128552112 has 120 divisors (see below), whose sum is σ = 396700304. Its totient is φ = 38610432.

The previous prime is 128552107. The next prime is 128552131. The reversal of 128552112 is 211255821.

It is a happy number.

128552112 is a `hidden beast` number, since 128 + 5 + 521 + 12 = 666.

It is an unprimeable number.

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, 79698 + ... + 81294.

Almost surely, 2128552112 is an apocalyptic number.

128552112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128552112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198350152).

128552112 is an abundant number, since it is smaller than the sum of its proper divisors (268148192).

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

128552112 is a wasteful number, since it uses less digits than its factorization.

128552112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1658 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 128552112 is about 11338.0823775452. The cubic root of 128552112 is about 504.6919822157.

The spelling of 128552112 in words is "one hundred twenty-eight million, five hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 624 688 774 936 1032 1118 1548 1597 1677 1872 2064 2236 3096 3194 3354 4472 4791 5031 6192 6388 6708 8944 9582 10062 12776 13416 14373 19164 20124 20761 25552 26832 28746 38328 40248 41522 57492 62283 68671 76656 80496 83044 114984 124566 137342 166088 186849 206013 229968 249132 274684 332176 373698 412026 498264 549368 618039 747396 824052 892723 996528 1098736 1236078 1494792 1648104 1785446 2472156 2678169 2989584 3296208 3570892 4944312 5356338 7141784 8034507 9888624 10712676 14283568 16069014 21425352 32138028 42850704 64276056 128552112