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133420404 = 223133147587
BaseRepresentation
bin1111111001111…
…01010101110100
3100022001110101110
413330331111310
5233123423104
621123355020
73210024525
oct774752564
9308043343
10133420404
11693487a7
1238822a70
13218455b0
1413a1084c
15baa6e89
hex7f3d574

133420404 has 96 divisors (see below), whose sum is σ = 354041856. Its totient is φ = 38816640.

The previous prime is 133420393. The next prime is 133420423. The reversal of 133420404 is 404024331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226999 + ... + 227585.

It is an arithmetic number, because the mean of its divisors is an integer number (3687936).

Almost surely, 2133420404 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 133420404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177020928).

133420404 is an abundant number, since it is smaller than the sum of its proper divisors (220621452).

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

133420404 is a wasteful number, since it uses less digits than its factorization.

133420404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 133420404 is about 11550.7750389314. The cubic root of 133420404 is about 510.9841358530.

Adding to 133420404 its reverse (404024331), we get a palindrome (537444735).

The spelling of 133420404 in words is "one hundred thirty-three million, four hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 31 39 47 52 62 78 93 94 124 141 156 186 188 282 372 403 564 587 611 806 1174 1209 1222 1457 1612 1761 1833 2348 2418 2444 2914 3522 3666 4371 4836 5828 7044 7332 7631 8742 15262 17484 18197 18941 22893 27589 30524 36394 37882 45786 54591 55178 56823 72788 75764 82767 91572 109182 110356 113646 165534 218364 227292 236561 331068 358657 473122 709683 717314 855259 946244 1075971 1419366 1434628 1710518 2151942 2565777 2838732 3421036 4303884 5131554 10263108 11118367 22236734 33355101 44473468 66710202 133420404