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128150528 = 2101131367
BaseRepresentation
bin1111010001101…
…10110000000000
322221010201110212
413220312300000
5230301304103
620414413252
73114155462
oct750666000
9287121425
10128150528
1166379430
1236b01228
132071ba1c
141303c132
15b3b57d8
hex7a36c00

128150528 has 88 divisors (see below), whose sum is σ = 289265664. Its totient is φ = 56217600.

The previous prime is 128150521. The next prime is 128150531. The reversal of 128150528 is 825051821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 128150494 and 128150503.

It is not an unprimeable number, because it can be changed into a prime (128150521) 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 7 ways as a sum of consecutive naturals, for example, 349001 + ... + 349367.

Almost surely, 2128150528 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 128150528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144632832).

128150528 is an abundant number, since it is smaller than the sum of its proper divisors (161115136).

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

128150528 is a wasteful number, since it uses less digits than its factorization.

128150528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 128150528 is about 11320.3590049079. The cubic root of 128150528 is about 504.1658981873.

The spelling of 128150528 in words is "one hundred twenty-eight million, one hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 367 496 512 682 704 734 992 1024 1364 1408 1468 1984 2728 2816 2936 3968 4037 5456 5632 5872 7936 8074 10912 11264 11377 11744 15872 16148 21824 22754 23488 31744 32296 43648 45508 46976 64592 87296 91016 93952 125147 129184 174592 182032 187904 250294 258368 349184 364064 375808 500588 516736 728128 1001176 1033472 1456256 2002352 2066944 2912512 4004704 4133888 5825024 8009408 11650048 16018816 32037632 64075264 128150528