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1329696 = 253719
BaseRepresentation
bin101000100101000100000
32111120000000
411010220200
5320022241
644300000
714205444
oct5045040
92446000
101329696
11829025
12541600
13377304
14268824
151b3eb6
hex144a20

1329696 has 96 divisors (see below), whose sum is σ = 4132800. Its totient is φ = 419904.

The previous prime is 1329673. The next prime is 1329701. The reversal of 1329696 is 6969231.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (17496) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 1329696.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69975 + ... + 69993.

It is an arithmetic number, because the mean of its divisors is an integer number (43050).

21329696 is an apocalyptic number.

1329696 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 1329696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066400).

1329696 is an abundant number, since it is smaller than the sum of its proper divisors (2803104).

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

1329696 is an frugal number, since it uses more digits than its factorization.

1329696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 24 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 1329696 is about 1153.1244512194. The cubic root of 1329696 is about 109.9640653972.

It can be divided in two parts, 1329 and 696, that added together give a square (2025 = 452).

The spelling of 1329696 in words is "one million, three hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 243 288 304 324 342 432 456 486 513 608 648 684 729 864 912 972 1026 1296 1368 1458 1539 1824 1944 2052 2187 2592 2736 2916 3078 3888 4104 4374 4617 5472 5832 6156 7776 8208 8748 9234 11664 12312 13851 16416 17496 18468 23328 24624 27702 34992 36936 41553 49248 55404 69984 73872 83106 110808 147744 166212 221616 332424 443232 664848 1329696