Search a number
-
+
1329536 = 27131747
BaseRepresentation
bin101000100100110000000
32111112210002
411010212000
5320021121
644255132
714205125
oct5044600
92445702
101329536
1182899a
125414a8
13377210
1426874c
151b3e0b
hex144980

1329536 has 64 divisors (see below), whose sum is σ = 3084480. Its totient is φ = 565248.

The previous prime is 1329533. The next prime is 1329541. The reversal of 1329536 is 6359231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1329499 and 1329508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329533) 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, 28265 + ... + 28311.

It is an arithmetic number, because the mean of its divisors is an integer number (48195).

21329536 is an apocalyptic number.

1329536 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 1329536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542240).

1329536 is an abundant number, since it is smaller than the sum of its proper divisors (1754944).

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

1329536 is a wasteful number, since it uses less digits than its factorization.

1329536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 79 counting only the distinct ones).

The product of its digits is 4860, while the sum is 29.

The square root of 1329536 is about 1153.0550724055. The cubic root of 1329536 is about 109.9596546256.

It can be divided in two parts, 13295 and 36, that added together give a palindrome (13331).

The spelling of 1329536 in words is "one million, three hundred twenty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 47 52 64 68 94 104 128 136 188 208 221 272 376 416 442 544 611 752 799 832 884 1088 1222 1504 1598 1664 1768 2176 2444 3008 3196 3536 4888 6016 6392 7072 9776 10387 12784 14144 19552 20774 25568 28288 39104 41548 51136 78208 83096 102272 166192 332384 664768 1329536