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13886145 = 3257133391
BaseRepresentation
bin110100111110…
…001011000001
3222010111012200
4310332023001
512023324040
61213343413
7226013250
oct64761301
928114180
1013886145
117924959
124797b69
132b52670
141bb6797
151344630
hexd3e2c1

13886145 has 48 divisors (see below), whose sum is σ = 29632512. Its totient is φ = 5857920.

The previous prime is 13886143. The next prime is 13886153. The reversal of 13886145 is 54168831.

13886145 is a `hidden beast` number, since 1 + 38 + 8 + 614 + 5 = 666.

13886145 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13886145 - 21 = 13886143 is a prime.

It is a super-2 number, since 2×138861452 = 385650045922050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13886141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2400 + ... + 5790.

It is an arithmetic number, because the mean of its divisors is an integer number (617344).

Almost surely, 213886145 is an apocalyptic number.

13886145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13886145 is an abundant number, since it is smaller than the sum of its proper divisors (15746367).

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

13886145 is a wasteful number, since it uses less digits than its factorization.

13886145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3419 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 13886145 is about 3726.4118129912. The cubic root of 13886145 is about 240.3590978517.

The spelling of 13886145 in words is "thirteen million, eight hundred eighty-six thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 3391 4095 10173 16955 23737 30519 44083 50865 71211 118685 132249 152595 213633 220415 308581 356055 396747 661245 925743 1068165 1542905 1983735 2777229 4628715 13886145