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13535082 = 23211197347
BaseRepresentation
bin110011101000…
…011101101010
3221110122122100
4303220131222
511431110312
61202034230
7223021611
oct63503552
927418570
1013535082
117705120
124648976
132a5b932
141b24878
1512c55dc
hexce876a

13535082 has 48 divisors (see below), whose sum is σ = 32247072. Its totient is φ = 4068960.

The previous prime is 13535069. The next prime is 13535101. The reversal of 13535082 is 28053531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38833 + ... + 39179.

It is an arithmetic number, because the mean of its divisors is an integer number (671814).

Almost surely, 213535082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13535082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123536).

13535082 is an abundant number, since it is smaller than the sum of its proper divisors (18711990).

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

13535082 is a wasteful number, since it uses less digits than its factorization.

13535082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13535082 is about 3679.0055721621. The cubic root of 13535082 is about 238.3162356989.

It can be divided in two parts, 13 and 535082, that added together give a triangular number (535095 = T1034).

The spelling of 13535082 in words is "thirteen million, five hundred thirty-five thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 197 198 347 394 591 694 1041 1182 1773 2082 2167 3123 3546 3817 4334 6246 6501 7634 11451 13002 19503 22902 34353 39006 68359 68706 136718 205077 410154 615231 751949 1230462 1503898 2255847 4511694 6767541 13535082