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133421808 = 243132973101
BaseRepresentation
bin1111111001111…
…01101011110000
3100022001112022110
413330331223300
5233123444213
621123405320
73210031602
oct774755360
9308045273
10133421808
1169349863
1238823840
1321846120
1413a11172
15baa75c3
hex7f3daf0

133421808 has 160 divisors (see below), whose sum is σ = 393099840. Its totient is φ = 38707200.

The previous prime is 133421801. The next prime is 133421839. The reversal of 133421808 is 808124331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133421801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1320958 + ... + 1321058.

It is an arithmetic number, because the mean of its divisors is an integer number (2456874).

Almost surely, 2133421808 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 133421808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196549920).

133421808 is an abundant number, since it is smaller than the sum of its proper divisors (259678032).

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

133421808 is a wasteful number, since it uses less digits than its factorization.

133421808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 133421808 is about 11550.8358139141. The cubic root of 133421808 is about 510.9859282305.

The spelling of 133421808 in words is "one hundred thirty-three million, four hundred twenty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 73 78 87 101 104 116 146 156 174 202 208 219 232 292 303 312 348 377 404 438 464 584 606 624 696 754 808 876 949 1131 1168 1212 1313 1392 1508 1616 1752 1898 2117 2262 2424 2626 2847 2929 3016 3504 3796 3939 4234 4524 4848 5252 5694 5858 6032 6351 7373 7592 7878 8468 8787 9048 10504 11388 11716 12702 14746 15184 15756 16936 17574 18096 21008 22119 22776 23432 25404 27521 29492 31512 33872 35148 38077 44238 45552 46864 50808 55042 58984 63024 70296 76154 82563 88476 95849 101616 110084 114231 117968 140592 152308 165126 176952 191698 213817 220168 228462 287547 304616 330252 353904 383396 427634 440336 456924 575094 609232 641451 660504 766792 855268 913848 1150188 1282902 1321008 1533584 1710536 1827696 2300376 2565804 2779621 3421072 4600752 5131608 5559242 8338863 10263216 11118484 16677726 22236968 33355452 44473936 66710904 133421808