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13146112 = 21172131
BaseRepresentation
bin110010001001…
…100000000000
3220201220002001
4302021200000
511331133422
61145433344
7216511600
oct62114000
926656061
1013146112
117469961
12449b854
132953885
141a62c00
15124a227
hexc89800

13146112 has 72 divisors (see below), whose sum is σ = 30810780. Its totient is φ = 5591040.

The previous prime is 13146103. The next prime is 13146131. The reversal of 13146112 is 21164131.

It is a self number, because there is not a number n which added to its sum of digits gives 13146112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100287 + ... + 100417.

Almost surely, 213146112 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 13146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405390).

13146112 is an abundant number, since it is smaller than the sum of its proper divisors (17664668).

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

13146112 is an equidigital number, since it uses as much as digits as its factorization.

13146112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 13146112 is about 3625.7567485975. The cubic root of 13146112 is about 236.0111073964.

The spelling of 13146112 in words is "thirteen million, one hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 131 196 224 256 262 392 448 512 524 784 896 917 1024 1048 1568 1792 1834 2048 2096 3136 3584 3668 4192 6272 6419 7168 7336 8384 12544 12838 14336 14672 16768 25088 25676 29344 33536 50176 51352 58688 67072 100352 102704 117376 134144 205408 234752 268288 410816 469504 821632 939008 1643264 1878016 3286528 6573056 13146112