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133640604 = 223417191277
BaseRepresentation
bin1111111011100…
…11000110011100
3100022110122110000
413331303012130
5233202444404
621132214300
73211632516
oct775630634
9308418400
10133640604
1169489189
123890a390
13218c18a6
1413a6abb6
15baec339
hex7f7319c

133640604 has 120 divisors (see below), whose sum is σ = 389687760. Its totient is φ = 39688704.

The previous prime is 133640537. The next prime is 133640609. The reversal of 133640604 is 406046331.

133640604 is a `hidden beast` number, since 13 + 3 + 6 + 40 + 604 = 666.

It is a super-2 number, since 2×1336406042 = 35719622074969632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133640609) 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 39 ways as a sum of consecutive naturals, for example, 104014 + ... + 105290.

It is an arithmetic number, because the mean of its divisors is an integer number (3247398).

Almost surely, 2133640604 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 133640604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194843880).

133640604 is an abundant number, since it is smaller than the sum of its proper divisors (256047156).

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

133640604 is a wasteful number, since it uses less digits than its factorization.

133640604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 133640604 is about 11560.3029372071. The cubic root of 133640604 is about 511.2650945342.

Adding to 133640604 its reverse (406046331), we get a palindrome (539686935).

The spelling of 133640604 in words is "one hundred thirty-three million, six hundred forty thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 306 323 324 342 459 513 612 646 684 918 969 1026 1277 1292 1377 1539 1836 1938 2052 2554 2754 2907 3078 3831 3876 5108 5508 5814 6156 7662 8721 11493 11628 15324 17442 21709 22986 24263 26163 34479 34884 43418 45972 48526 52326 65127 68958 72789 86836 97052 103437 104652 130254 137916 145578 195381 206874 218367 260508 291156 390762 412471 413748 436734 586143 655101 781524 824942 873468 1172286 1237413 1310202 1649884 1758429 1965303 2344572 2474826 2620404 3516858 3712239 3930606 4949652 7033716 7424478 7861212 11136717 14848956 22273434 33410151 44546868 66820302 133640604