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13338828 = 2232536991
BaseRepresentation
bin110010111000…
…100011001100
3221002200102200
4302320203030
511403320303
61153521500
7221243466
oct62704314
927080380
1013338828
117590728
124573290
1329c04c9
141ab3136
1512873a3
hexcb88cc

13338828 has 36 divisors (see below), whose sum is σ = 34358688. Its totient is φ = 4361760.

The previous prime is 13338823. The next prime is 13338839. The reversal of 13338828 is 82883331.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13338792 and 13338801.

It is not an unprimeable number, because it can be changed into a prime (13338821) 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, 1588 + ... + 5403.

It is an arithmetic number, because the mean of its divisors is an integer number (954408).

Almost surely, 213338828 is an apocalyptic number.

13338828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13338828 is an abundant number, since it is smaller than the sum of its proper divisors (21019860).

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

13338828 is a wasteful number, since it uses less digits than its factorization.

13338828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7054 (or 7049 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 13338828 is about 3652.2360274221. The cubic root of 13338828 is about 237.1587890643.

The spelling of 13338828 in words is "thirteen million, three hundred thirty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 6991 13982 20973 27964 41946 62919 83892 125838 251676 370523 741046 1111569 1482092 2223138 3334707 4446276 6669414 13338828