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1329936 = 243103269
BaseRepresentation
bin101000100101100010000
32111120022220
411010230100
5320024221
644301040
714206236
oct5045420
92446286
101329936
11829223
12541780
1337745a
14268956
151b40c6
hex144b10

1329936 has 40 divisors (see below), whose sum is σ = 3481920. Its totient is φ = 437376.

The previous prime is 1329907. The next prime is 1329941. The reversal of 1329936 is 6399231.

It is a super-3 number, since 3×13299363 = 7056892162628333568, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1329897 and 1329906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4810 + ... + 5078.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

21329936 is an apocalyptic number.

1329936 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 1329936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740960).

1329936 is an abundant number, since it is smaller than the sum of its proper divisors (2151984).

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

1329936 is a wasteful number, since it uses less digits than its factorization.

1329936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its digits is 8748, while the sum is 33.

The square root of 1329936 is about 1153.2285116142. The cubic root of 1329936 is about 109.9706808913.

The spelling of 1329936 in words is "one million, three hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 269 309 412 538 618 807 824 1076 1236 1614 1648 2152 2472 3228 4304 4944 6456 12912 27707 55414 83121 110828 166242 221656 332484 443312 664968 1329936