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13035816 = 233420117
BaseRepresentation
bin110001101110…
…100100101000
3220112021210000
4301232210220
511314121231
61143223000
7215542203
oct61564450
926467700
1013035816
1173a4002
124447a60
132915601
141a3493a
1512276e6
hexc6e928

13035816 has 40 divisors (see below), whose sum is σ = 36514170. Its totient is φ = 4345056.

The previous prime is 13035809. The next prime is 13035823. The reversal of 13035816 is 61853031.

It is an interprime number because it is at equal distance from previous prime (13035809) and next prime (13035823).

It can be written as a sum of positive squares in only one way, i.e., 12320100 + 715716 = 3510^2 + 846^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 13035816.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 9411 + ... + 10706.

Almost surely, 213035816 is an apocalyptic number.

It is an amenable number.

13035816 is an abundant number, since it is smaller than the sum of its proper divisors (23478354).

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

13035816 is a wasteful number, since it uses less digits than its factorization.

13035816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20135 (or 20122 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13035816 is about 3610.5146447563. The cubic root of 13035816 is about 235.3492076986.

Adding to 13035816 its reverse (61853031), we get a palindrome (74888847).

The spelling of 13035816 in words is "thirteen million, thirty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 20117 40234 60351 80468 120702 160936 181053 241404 362106 482808 543159 724212 1086318 1448424 1629477 2172636 3258954 4345272 6517908 13035816