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128103552 = 2733101367
BaseRepresentation
bin1111010001010…
…11010010000000
322221001100001000
413220223102000
5230243303202
620413412000
73113601513
oct750532200
9287040030
10128103552
1166347105
1236a9a000
1320703525
1413028d7a
15b3a691c
hex7a2b480

128103552 has 128 divisors (see below), whose sum is σ = 382867200. Its totient is φ = 42163200.

The previous prime is 128103541. The next prime is 128103553. The reversal of 128103552 is 255301821.

It is a happy number.

128103552 is a `hidden beast` number, since 1 + 2 + 8 + 103 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (128103553) 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 15 ways as a sum of consecutive naturals, for example, 348873 + ... + 349239.

It is an arithmetic number, because the mean of its divisors is an integer number (2991150).

Almost surely, 2128103552 is an apocalyptic number.

128103552 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 128103552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191433600).

128103552 is an abundant number, since it is smaller than the sum of its proper divisors (254763648).

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

128103552 is a wasteful number, since it uses less digits than its factorization.

128103552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 128103552 is about 11318.2839688709. The cubic root of 128103552 is about 504.1042868097.

The spelling of 128103552 in words is "one hundred twenty-eight million, one hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 128 144 192 202 216 288 303 367 384 404 432 576 606 734 808 864 909 1101 1152 1212 1468 1616 1728 1818 2202 2424 2727 2936 3232 3303 3456 3636 4404 4848 5454 5872 6464 6606 7272 8808 9696 9909 10908 11744 12928 13212 14544 17616 19392 19818 21816 23488 26424 29088 35232 37067 38784 39636 43632 46976 52848 58176 70464 74134 79272 87264 105696 111201 116352 140928 148268 158544 174528 211392 222402 296536 317088 333603 349056 422784 444804 593072 634176 667206 889608 1000809 1186144 1268352 1334412 1779216 2001618 2372288 2668824 3558432 4003236 4744576 5337648 7116864 8006472 10675296 14233728 16012944 21350592 32025888 42701184 64051776 128103552