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13390176 = 2531011381
BaseRepresentation
bin110011000101…
…000101100000
3221012021212110
4303011011200
511411441201
61154555320
7221546262
oct63050540
927167773
1013390176
117616268
124598b40
132a0a9a7
141ac7b32
1512976d6
hexcc5160

13390176 has 48 divisors (see below), whose sum is σ = 35522928. Its totient is φ = 4416000.

The previous prime is 13390129. The next prime is 13390177. The reversal of 13390176 is 67109331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13390177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9006 + ... + 10386.

It is an arithmetic number, because the mean of its divisors is an integer number (740061).

Almost surely, 213390176 is an apocalyptic number.

13390176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13390176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17761464).

13390176 is an abundant number, since it is smaller than the sum of its proper divisors (22132752).

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

13390176 is a wasteful number, since it uses less digits than its factorization.

13390176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 13390176 is about 3659.2589413705. The cubic root of 13390176 is about 237.4627147378.

It can be divided in two parts, 133 and 90176, that added together give a palindrome (90309).

The spelling of 13390176 in words is "thirteen million, three hundred ninety thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1381 1616 2424 2762 3232 4143 4848 5524 8286 9696 11048 16572 22096 33144 44192 66288 132576 139481 278962 418443 557924 836886 1115848 1673772 2231696 3347544 4463392 6695088 13390176