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13002176 = 261122373
BaseRepresentation
bin110001100110…
…010111000000
3220110120122002
4301212113000
511312032201
61142403132
7215342135
oct61462700
926416562
1013002176
117380800
1244304a8
1329031c5
141a2658c
15121c76b
hexc665c0

13002176 has 84 divisors (see below), whose sum is σ = 29998416. Its totient is φ = 5575680.

The previous prime is 13002173. The next prime is 13002181. The reversal of 13002176 is 67120031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002173) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178076 + ... + 178148.

It is an arithmetic number, because the mean of its divisors is an integer number (357124).

Almost surely, 213002176 is an apocalyptic number.

13002176 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 13002176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999208).

13002176 is an abundant number, since it is smaller than the sum of its proper divisors (16996240).

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

13002176 is a wasteful number, since it uses less digits than its factorization.

13002176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 13002176 is about 3605.8530197444. The cubic root of 13002176 is about 235.1465872819.

The spelling of 13002176 in words is "thirteen million, two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 73 88 92 121 146 176 184 242 253 292 352 368 484 506 584 704 736 803 968 1012 1168 1472 1606 1679 1936 2024 2336 2783 3212 3358 3872 4048 4672 5566 6424 6716 7744 8096 8833 11132 12848 13432 16192 17666 18469 22264 25696 26864 35332 36938 44528 51392 53728 70664 73876 89056 107456 141328 147752 178112 203159 282656 295504 406318 565312 591008 812636 1182016 1625272 3250544 6501088 13002176