Search a number
-
+
133655256 = 23327509521
BaseRepresentation
bin1111111011101…
…10101011011000
3100022111101112200
413331312223120
5233203432011
621132410200
73212023320
oct775665330
9308441480
10133655256
1169499199
1238916960
13218c8467
1413a72280
15bb01856
hex7f76ad8

133655256 has 96 divisors (see below), whose sum is σ = 415303200. Its totient is φ = 38039040.

The previous prime is 133655251. The next prime is 133655257. The reversal of 133655256 is 652556331.

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 133655256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133655251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256276 + ... + 256796.

It is an arithmetic number, because the mean of its divisors is an integer number (4326075).

Almost surely, 2133655256 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 133655256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207651600).

133655256 is an abundant number, since it is smaller than the sum of its proper divisors (281647944).

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

133655256 is a wasteful number, since it uses less digits than its factorization.

133655256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1042 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 133655256 is about 11560.9366402554. The cubic root of 133655256 is about 511.2837784327.

The spelling of 133655256 in words is "one hundred thirty-three million, six hundred fifty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 509 521 1018 1042 1527 1563 2036 2084 3054 3126 3563 3647 4072 4168 4581 4689 6108 6252 7126 7294 9162 9378 10689 10941 12216 12504 14252 14588 18324 18756 21378 21882 28504 29176 32067 32823 36648 37512 42756 43764 64134 65646 85512 87528 128268 131292 256536 262584 265189 530378 795567 1060756 1591134 1856323 2121512 2386701 3182268 3712646 4773402 5568969 6364536 7425292 9546804 11137938 14850584 16706907 19093608 22275876 33413814 44551752 66827628 133655256