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1329160 = 235747101
BaseRepresentation
bin101000100100000001000
32111112021011
411010200020
5320013120
644253304
714204050
oct5044010
92445234
101329160
11828688
12541234
13376cb1
14268560
151b3c5a
hex144808

1329160 has 64 divisors (see below), whose sum is σ = 3525120. Its totient is φ = 441600.

The previous prime is 1329143. The next prime is 1329161. The reversal of 1329160 is 619231.

It is not an unprimeable number, because it can be changed into a prime (1329161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13110 + ... + 13210.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

21329160 is an apocalyptic number.

1329160 is a gapful number since it is divisible by the number (10) 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 1329160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762560).

1329160 is an abundant number, since it is smaller than the sum of its proper divisors (2195960).

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

1329160 is a wasteful number, since it uses less digits than its factorization.

1329160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1329160 is about 1152.8920157586. The cubic root of 1329160 is about 109.9492879191.

The spelling of 1329160 in words is "one million, three hundred twenty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 101 140 188 202 235 280 329 376 404 470 505 658 707 808 940 1010 1316 1414 1645 1880 2020 2632 2828 3290 3535 4040 4747 5656 6580 7070 9494 13160 14140 18988 23735 28280 33229 37976 47470 66458 94940 132916 166145 189880 265832 332290 664580 1329160