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128128608 = 2533413617
BaseRepresentation
bin1111010001100…
…01011001100000
322221002121102000
413220301121200
5230300103413
620414124000
73114034536
oct750613140
9287077360
10128128608
1166363a13
1236ab0600
1320711a5a
1413034156
15b3ae073
hex7a31660

128128608 has 96 divisors (see below), whose sum is σ = 382929120. Its totient is φ = 41656320.

The previous prime is 128128577. The next prime is 128128621. The reversal of 128128608 is 806821821.

128128608 is a `hidden beast` number, since 1 + 28 + 1 + 28 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33616 + ... + 37232.

It is an arithmetic number, because the mean of its divisors is an integer number (3988845).

Almost surely, 2128128608 is an apocalyptic number.

128128608 is a gapful number since it is divisible by the number (18) 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 128128608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191464560).

128128608 is an abundant number, since it is smaller than the sum of its proper divisors (254800512).

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

128128608 is a wasteful number, since it uses less digits than its factorization.

128128608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 128128608 is about 11319.3907963282. The cubic root of 128128608 is about 504.1371508831.

The spelling of 128128608 in words is "one hundred twenty-eight million, one hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3617 3936 4428 5904 7234 8856 10851 11808 14468 17712 21702 28936 32553 35424 43404 57872 65106 86808 97659 115744 130212 148297 173616 195318 260424 296594 347232 390636 444891 520848 593188 781272 889782 1041696 1186376 1334673 1562544 1779564 2372752 2669346 3125088 3559128 4004019 4745504 5338692 7118256 8008038 10677384 14236512 16016076 21354768 32032152 42709536 64064304 128128608