Search a number
-
+
133268576 = 2571779443
BaseRepresentation
bin1111111000110…
…00010001100000
3100021202202010012
413330120101200
5233104043301
621120224052
73205523060
oct774302140
9307682105
10133268576
1169254721
123876b028
13217c145c
14139b13a0
15ba76ebb
hex7f18460

133268576 has 96 divisors (see below), whose sum is σ = 322237440. Its totient is φ = 52955136.

The previous prime is 133268557. The next prime is 133268579. The reversal of 133268576 is 675862331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133268579) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300611 + ... + 301053.

It is an arithmetic number, because the mean of its divisors is an integer number (3356640).

Almost surely, 2133268576 is an apocalyptic number.

133268576 is a gapful number since it is divisible by the number (16) 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 133268576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

133268576 is an abundant number, since it is smaller than the sum of its proper divisors (188968864).

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

133268576 is a wasteful number, since it uses less digits than its factorization.

133268576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 548 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 133268576 is about 11544.2009684516. The cubic root of 133268576 is about 510.7902346101.

The spelling of 133268576 in words is "one hundred thirty-three million, two hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 79 112 119 136 158 224 238 272 316 443 476 544 553 632 886 952 1106 1264 1343 1772 1904 2212 2528 2686 3101 3544 3808 4424 5372 6202 7088 7531 8848 9401 10744 12404 14176 15062 17696 18802 21488 24808 30124 34997 37604 42976 49616 52717 60248 69994 75208 99232 105434 120496 139988 150416 210868 240992 244979 279976 300832 421736 489958 559952 594949 843472 979916 1119904 1189898 1686944 1959832 2379796 3919664 4164643 4759592 7839328 8329286 9519184 16658572 19038368 33317144 66634288 133268576