Search a number
-
+
13232128 = 21171371
BaseRepresentation
bin110010011110…
…100000000000
3220220021001211
4302132200000
511341412003
61151335504
7220320430
oct62364000
926807054
1013232128
117518548
124521594
132983a80
141a862c0
15126596d
hexc9e800

13232128 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 5160960.

The previous prime is 13232119. The next prime is 13232129. The reversal of 13232128 is 82123231.

It is a super-2 number, since 2×132321282 = 350178422816768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13232099 and 13232108.

It is not an unprimeable number, because it can be changed into a prime (13232129) 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, 186333 + ... + 186403.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 213232128 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 13232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

13232128 is an abundant number, since it is smaller than the sum of its proper divisors (19789952).

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

13232128 is an equidigital number, since it uses as much as digits as its factorization.

13232128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 13232128 is about 3637.5992082691. The cubic root of 13232128 is about 236.5247349302.

Adding to 13232128 its reverse (82123231), we get a palindrome (95355359).

The spelling of 13232128 in words is "thirteen million, two hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 71 91 104 112 128 142 182 208 224 256 284 364 416 448 497 512 568 728 832 896 923 994 1024 1136 1456 1664 1792 1846 1988 2048 2272 2912 3328 3584 3692 3976 4544 5824 6461 6656 7168 7384 7952 9088 11648 12922 13312 14336 14768 15904 18176 23296 25844 26624 29536 31808 36352 46592 51688 59072 63616 72704 93184 103376 118144 127232 145408 186368 206752 236288 254464 413504 472576 508928 827008 945152 1017856 1654016 1890304 3308032 6616064 13232128