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13064436 = 22337111571
BaseRepresentation
bin110001110101…
…100011110100
3220120202001000
4301311203310
511321030221
61144003300
7216021510
oct61654364
926522030
1013064436
117413560
124460530
132925648
141a41140
151230e26
hexc758f4

13064436 has 96 divisors (see below), whose sum is σ = 42255360. Its totient is φ = 3391200.

The previous prime is 13064411. The next prime is 13064453. The reversal of 13064436 is 63446031.

13064436 is a `hidden beast` number, since 13 + 0 + 644 + 3 + 6 = 666.

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

It is a zygodrome in base 6.

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 31 ways as a sum of consecutive naturals, for example, 7531 + ... + 9101.

It is an arithmetic number, because the mean of its divisors is an integer number (440160).

Almost surely, 213064436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13064436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21127680).

13064436 is an abundant number, since it is smaller than the sum of its proper divisors (29190924).

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

13064436 is a wasteful number, since it uses less digits than its factorization.

13064436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 13064436 is about 3614.4758956175. The cubic root of 13064436 is about 235.5213173936.

It can be divided in two parts, 1306443 and 6, that added together give a square (1306449 = 11432).

The spelling of 13064436 in words is "thirteen million, sixty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 1571 2079 2772 3142 4158 4713 6284 8316 9426 10997 14139 17281 18852 21994 28278 32991 34562 42417 43988 51843 56556 65982 69124 84834 98973 103686 120967 131964 155529 169668 197946 207372 241934 296919 311058 362901 395892 466587 483868 593838 622116 725802 933174 1088703 1187676 1451604 1866348 2177406 3266109 4354812 6532218 13064436