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133568028 = 22341123407
BaseRepresentation
bin1111111011000…
…01011000011100
3100022022221220000
413331201120130
5233143134103
621130454300
73211211106
oct775413034
9308287800
10133568028
1169439700
1238894390
1321897849
1413a4c576
15bad5aa3
hex7f6161c

133568028 has 90 divisors (see below), whose sum is σ = 383914608. Its totient is φ = 40463280.

The previous prime is 133568021. The next prime is 133568033. The reversal of 133568028 is 820865331.

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

It is a junction number, because it is equal to n+sod(n) for n = 133567983 and 133568001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133568021) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 37501 + ... + 40907.

Almost surely, 2133568028 is an apocalyptic number.

133568028 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 133568028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191957304).

133568028 is an abundant number, since it is smaller than the sum of its proper divisors (250346580).

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

133568028 is a wasteful number, since it uses less digits than its factorization.

133568028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 133568028 is about 11557.1634928299. The cubic root of 133568028 is about 511.1725271224.

The spelling of 133568028 in words is "one hundred thirty-three million, five hundred sixty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3407 3564 4356 6534 6814 9801 10221 13068 13628 19602 20442 30663 37477 39204 40884 61326 74954 91989 112431 122652 149908 183978 224862 275967 337293 367956 412247 449724 551934 674586 824494 1011879 1103868 1236741 1349172 1648988 2023758 2473482 3035637 3710223 4047516 4946964 6071274 7420446 11130669 12142548 14840892 22261338 33392007 44522676 66784014 133568028