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13064625 = 33537279
BaseRepresentation
bin110001110101…
…100110110001
3220120202022000
4301311212301
511321032000
61144004213
7216022200
oct61654661
926522260
1013064625
117413712
124460669
132925762
141a41237
151231000
hexc759b1

13064625 has 96 divisors (see below), whose sum is σ = 28454400. Its totient is φ = 5896800.

The previous prime is 13064567. The next prime is 13064627. The reversal of 13064625 is 52646031.

13064625 is a `hidden beast` number, since 1 + 30 + 6 + 4 + 625 = 666.

It is not a de Polignac number, because 13064625 - 212 = 13060529 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 (13064627) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 165336 + ... + 165414.

It is an arithmetic number, because the mean of its divisors is an integer number (296400).

Almost surely, 213064625 is an apocalyptic number.

13064625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13064625 is an abundant number, since it is smaller than the sum of its proper divisors (15389775).

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

13064625 is an equidigital number, since it uses as much as digits as its factorization.

13064625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13064625 is about 3614.5020403923. The cubic root of 13064625 is about 235.5224531312.

It can be divided in two parts, 13064 and 625, that added together give a square (13689 = 1172).

The spelling of 13064625 in words is "thirteen million, sixty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 79 105 125 135 147 175 189 225 237 245 315 375 395 441 525 553 675 711 735 875 945 1125 1185 1225 1323 1575 1659 1975 2133 2205 2625 2765 3375 3555 3675 3871 4725 4977 5925 6125 6615 7875 8295 9875 10665 11025 11613 13825 14931 17775 18375 19355 23625 24885 29625 33075 34839 41475 53325 55125 58065 69125 74655 88875 96775 104517 124425 165375 174195 207375 266625 290325 373275 483875 522585 622125 870975 1451625 1866375 2612925 4354875 13064625