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135930015 = 33513731061
BaseRepresentation
bin10000001101000…
…10000010011111
3100110202221221000
420012202002133
5234244230030
621253241343
73240246264
oct1006420237
9313687830
10135930015
116a802261
1239633253
1322213980
14140a526b
15be00860
hex81a209f

135930015 has 64 divisors (see below), whose sum is σ = 264055680. Its totient is φ = 65940480.

The previous prime is 135929951. The next prime is 135930017. The reversal of 135930015 is 510039531.

135930015 is a `hidden beast` number, since 1 + 359 + 300 + 1 + 5 = 666.

It is not a de Polignac number, because 135930015 - 26 = 135929951 is a prime.

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 (135930017) 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 63 ways as a sum of consecutive naturals, for example, 127585 + ... + 128645.

It is an arithmetic number, because the mean of its divisors is an integer number (4125870).

Almost surely, 2135930015 is an apocalyptic number.

135930015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135930015 is a deficient number, since it is larger than the sum of its proper divisors (128125665).

135930015 is a wasteful number, since it uses less digits than its factorization.

135930015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 135930015 is about 11658.9028214494. The cubic root of 135930015 is about 514.1680916521.

Adding to 135930015 its reverse (510039531), we get a palindrome (645969546).

It can be divided in two parts, 135 and 930015, that multiplied together give a square (125552025 = 112052).

The spelling of 135930015 in words is "one hundred thirty-five million, nine hundred thirty thousand, fifteen".

Divisors: 1 3 5 9 13 15 27 39 45 65 73 117 135 195 219 351 365 585 657 949 1061 1095 1755 1971 2847 3183 3285 4745 5305 8541 9549 9855 13793 14235 15915 25623 28647 41379 42705 47745 68965 77453 124137 128115 143235 206895 232359 372411 387265 620685 697077 1006889 1161795 1862055 2091231 3020667 3485385 5034445 9062001 10456155 15103335 27186003 45310005 135930015