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13228432 = 247247359
BaseRepresentation
bin110010011101…
…100110010000
3220220001222221
4302131212100
511341302212
61151310424
7220303600
oct62354620
926801887
1013228432
117515798
12451b414
132982199
141a84c00
151264807
hexc9d990

13228432 has 60 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 5533248.

The previous prime is 13228421. The next prime is 13228433. The reversal of 13228432 is 23482231.

It is a junction number, because it is equal to n+sod(n) for n = 13228397 and 13228406.

It is not an unprimeable number, because it can be changed into a prime (13228433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36669 + ... + 37027.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 213228432 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 13228432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

13228432 is an abundant number, since it is smaller than the sum of its proper divisors (17305328).

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

13228432 is a wasteful number, since it uses less digits than its factorization.

13228432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 13228432 is about 3637.0911454073. The cubic root of 13228432 is about 236.5027108379.

The spelling of 13228432 in words is "thirteen million, two hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 359 376 392 658 718 752 784 1316 1436 2303 2513 2632 2872 4606 5026 5264 5744 9212 10052 16873 17591 18424 20104 33746 35182 36848 40208 67492 70364 118111 134984 140728 236222 269968 281456 472444 826777 944888 1653554 1889776 3307108 6614216 13228432