Search a number
-
+
128053536 = 25313102607
BaseRepresentation
bin1111010000111…
…11000100100000
322220221210102120
413220133010200
5230240203121
620412344240
73113302632
oct750370440
9286853376
10128053536
1166312576
1236a75080
13206b6830
1413014a52
15b396bc6
hex7a1f120

128053536 has 48 divisors (see below), whose sum is σ = 362001024. Its totient is φ = 39400704.

The previous prime is 128053517. The next prime is 128053553. The reversal of 128053536 is 635350821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 128053497 and 128053506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50056 + ... + 52551.

It is an arithmetic number, because the mean of its divisors is an integer number (7541688).

Almost surely, 2128053536 is an apocalyptic number.

128053536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

128053536 is an abundant number, since it is smaller than the sum of its proper divisors (233947488).

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

128053536 is a wasteful number, since it uses less digits than its factorization.

128053536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102633 (or 102625 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 128053536 is about 11316.0742309336. The cubic root of 128053536 is about 504.0386717618.

The spelling of 128053536 in words is "one hundred twenty-eight million, fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 102607 205214 307821 410428 615642 820856 1231284 1333891 1641712 2462568 2667782 3283424 4001673 4925136 5335564 8003346 9850272 10671128 16006692 21342256 32013384 42684512 64026768 128053536