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13049064 = 23327171523
BaseRepresentation
bin110001110001…
…110011101000
3220112221221200
4301301303220
511320032224
61143404200
7215625630
oct61616350
926487850
1013049064
117402a56
124453660
13291b652
141a396c0
15122b5c9
hexc71ce8

13049064 has 96 divisors (see below), whose sum is σ = 42793920. Its totient is φ = 3506688.

The previous prime is 13049053. The next prime is 13049093. The reversal of 13049064 is 46094031.

13049064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7807 + ... + 9329.

It is an arithmetic number, because the mean of its divisors is an integer number (445770).

Almost surely, 213049064 is an apocalyptic number.

13049064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13049064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960).

13049064 is an abundant number, since it is smaller than the sum of its proper divisors (29744856).

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

13049064 is a wasteful number, since it uses less digits than its factorization.

13049064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13049064 is about 3612.3488203661. The cubic root of 13049064 is about 235.4289073682.

It can be divided in two parts, 130 and 49064, that added together give a palindrome (49194).

The spelling of 13049064 in words is "thirteen million, forty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 1523 2142 2856 3046 4284 4569 6092 8568 9138 10661 12184 13707 18276 21322 25891 27414 31983 36552 42644 51782 54828 63966 77673 85288 95949 103564 109656 127932 155346 181237 191898 207128 233019 255864 310692 362474 383796 466038 543711 621384 724948 767592 932076 1087422 1449896 1631133 1864152 2174844 3262266 4349688 6524532 13049064