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128053656 = 23331743811
BaseRepresentation
bin1111010000111…
…11000110011000
322220221210121000
413220133012120
5230240204111
620412345000
73113303163
oct750370630
9286853530
10128053656
1166312675
1236a75160
13206b68c3
1413014ada
15b396c56
hex7a1f198

128053656 has 128 divisors (see below), whose sum is σ = 385862400. Its totient is φ = 39191040.

The previous prime is 128053649. The next prime is 128053697. The reversal of 128053656 is 656350821.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128053656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157491 + ... + 158301.

It is an arithmetic number, because the mean of its divisors is an integer number (3014550).

Almost surely, 2128053656 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 128053656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192931200).

128053656 is an abundant number, since it is smaller than the sum of its proper divisors (257808744).

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

128053656 is a wasteful number, since it uses less digits than its factorization.

128053656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 128053656 is about 11316.0795331245. The cubic root of 128053656 is about 504.0388292080.

It can be divided in two parts, 12805 and 3656, that added together give a palindrome (16461).

The spelling of 128053656 in words is "one hundred twenty-eight million, fifty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 43 51 54 68 72 86 102 108 129 136 153 172 204 216 258 306 344 387 408 459 516 612 731 774 811 918 1032 1161 1224 1462 1548 1622 1836 2193 2322 2433 2924 3096 3244 3672 4386 4644 4866 5848 6488 6579 7299 8772 9288 9732 13158 13787 14598 17544 19464 19737 21897 26316 27574 29196 34873 39474 41361 43794 52632 55148 58392 69746 78948 82722 87588 104619 110296 124083 139492 157896 165444 175176 209238 248166 278984 313857 330888 372249 418476 496332 592841 627714 744498 836952 941571 992664 1185682 1255428 1488996 1778523 1883142 2371364 2510856 2977992 3557046 3766284 4742728 5335569 7114092 7532568 10671138 14228184 16006707 21342276 32013414 42684552 64026828 128053656