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13496406 = 23711131223
BaseRepresentation
bin110011011111…
…000001010110
3221101200120220
4303133001112
511423341111
61201135210
7222501060
oct63370126
927350526
1013496406
117689060
12462a506
132a47151
141b14730
1512b8e06
hexcdf056

13496406 has 64 divisors (see below), whose sum is σ = 34062336. Its totient is φ = 3463200.

The previous prime is 13496401. The next prime is 13496407. The reversal of 13496406 is 60469431.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13496401) 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 31 ways as a sum of consecutive naturals, for example, 60411 + ... + 60633.

It is an arithmetic number, because the mean of its divisors is an integer number (532224).

Almost surely, 213496406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13496406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17031168).

13496406 is an abundant number, since it is smaller than the sum of its proper divisors (20565930).

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

13496406 is a wasteful number, since it uses less digits than its factorization.

13496406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 13496406 is about 3673.7455001674. The cubic root of 13496406 is about 238.0890258481.

The spelling of 13496406 in words is "thirteen million, four hundred ninety-six thousand, four hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 131 154 223 231 262 393 446 462 669 786 917 1338 1441 1561 1834 2453 2751 2882 3122 4323 4683 4906 5502 7359 8646 9366 10087 14718 17171 20174 29213 30261 34342 51513 58426 60522 87639 103026 175278 204491 321343 408982 613473 642686 964029 1226946 1928058 2249401 4498802 6748203 13496406