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135505433 = 7231372411
BaseRepresentation
bin10000001001110…
…10011000011001
3100102222101111202
420010322120121
5234142133213
621240203545
73233530400
oct1004723031
9312871452
10135505433
116a542268
12394695b5
13220c563b
1413dd4637
15bd69b58
hex813a619

135505433 has 24 divisors (see below), whose sum is σ = 167180544. Its totient is φ = 109317600.

The previous prime is 135505393. The next prime is 135505441. The reversal of 135505433 is 334505531.

It is not a de Polignac number, because 135505433 - 214 = 135489049 is a prime.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135505396 and 135505405.

It is not an unprimeable number, because it can be changed into a prime (135505463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54998 + ... + 57408.

It is an arithmetic number, because the mean of its divisors is an integer number (6965856).

Almost surely, 2135505433 is an apocalyptic number.

It is an amenable number.

135505433 is a deficient number, since it is larger than the sum of its proper divisors (31675111).

135505433 is a wasteful number, since it uses less digits than its factorization.

135505433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

The square root of 135505433 is about 11640.6800918159. The cubic root of 135505433 is about 513.6321928224.

The spelling of 135505433 in words is "one hundred thirty-five million, five hundred five thousand, four hundred thirty-three".

Divisors: 1 7 31 37 49 217 259 1147 1519 1813 2411 8029 16877 56203 74741 89207 118139 523187 624449 2765417 3662309 4371143 19357919 135505433