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133004340 = 223257283373
BaseRepresentation
bin1111110110101…
…11110000110100
3100021021022122200
413323113300310
5233022114330
621110424500
73203342520
oct773276064
9307238580
10133004340
1169094147
1238662130
132172b0c1
1413942d80
15ba23a60
hex7ed7c34

133004340 has 144 divisors (see below), whose sum is σ = 463951488. Its totient is φ = 30212352.

The previous prime is 133004327. The next prime is 133004341. The reversal of 133004340 is 43400331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133004341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356394 + ... + 356766.

Almost surely, 2133004340 is an apocalyptic number.

133004340 is a gapful number since it is divisible by the number (10) 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 133004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231975744).

133004340 is an abundant number, since it is smaller than the sum of its proper divisors (330947148).

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

133004340 is a wasteful number, since it uses less digits than its factorization.

133004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133004340 is about 11532.7507559992. The cubic root of 133004340 is about 510.4524243689.

Adding to 133004340 its reverse (43400331), we get a palindrome (176404671).

The spelling of 133004340 in words is "one hundred thirty-three million, four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 283 315 373 420 566 630 746 849 1119 1132 1260 1415 1492 1698 1865 1981 2238 2547 2611 2830 3357 3396 3730 3962 4245 4476 5094 5222 5595 5660 5943 6714 7460 7833 7924 8490 9905 10188 10444 11190 11886 12735 13055 13428 15666 16785 16980 17829 19810 22380 23499 23772 25470 26110 29715 31332 33570 35658 39165 39620 46998 50940 52220 59430 67140 71316 78330 89145 93996 105559 117495 118860 156660 178290 211118 234990 316677 356580 422236 469980 527795 633354 738913 950031 1055590 1266708 1477826 1583385 1900062 2111180 2216739 2955652 3166770 3694565 3800124 4433478 4750155 6333540 6650217 7389130 8866956 9500310 11083695 13300434 14778260 19000620 22167390 26600868 33251085 44334780 66502170 133004340