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13064454 = 23213311801
BaseRepresentation
bin110001110101…
…100100000110
3220120202001200
4301311210012
511321030304
61144003330
7216021534
oct61654406
926522050
1013064454
117413577
124460546
132925660
141a41154
151230e39
hexc75906

13064454 has 48 divisors (see below), whose sum is σ = 31484544. Its totient is φ = 3888000.

The previous prime is 13064453. The next prime is 13064459. The reversal of 13064454 is 45446031.

13064454 = T25 + T26 + ... + T427.

13064454 is a `hidden beast` number, since 13 + 0 + 644 + 5 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13064453) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6354 + ... + 8154.

It is an arithmetic number, because the mean of its divisors is an integer number (655928).

Almost surely, 213064454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13064454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15742272).

13064454 is an abundant number, since it is smaller than the sum of its proper divisors (18420090).

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

13064454 is a wasteful number, since it uses less digits than its factorization.

13064454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 13064454 is about 3614.4783856042. The cubic root of 13064454 is about 235.5214255596.

It can be divided in two parts, 1306445 and 4, that added together give a square (1306449 = 11432).

The spelling of 13064454 in words is "thirteen million, sixty-four thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 1801 2418 3602 3627 5403 7254 10806 16209 23413 32418 46826 55831 70239 111662 140478 167493 210717 334986 421434 502479 725803 1004958 1451606 2177409 4354818 6532227 13064454