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1329152 = 2111159
BaseRepresentation
bin101000100100000000000
32111112020212
411010200000
5320013102
644253252
714204036
oct5044000
92445225
101329152
11828680
12541228
13376ca6
14268556
151b3c52
hex144800

1329152 has 48 divisors (see below), whose sum is σ = 2948400. Its totient is φ = 593920.

The previous prime is 1329143. The next prime is 1329161. The reversal of 1329152 is 2519231.

It is an interprime number because it is at equal distance from previous prime (1329143) and next prime (1329161).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22499 + ... + 22557.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

21329152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474200).

1329152 is an abundant number, since it is smaller than the sum of its proper divisors (1619248).

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

1329152 is an equidigital number, since it uses as much as digits as its factorization.

1329152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its digits is 540, while the sum is 23.

The square root of 1329152 is about 1152.8885462177. Note that the first 3 decimals coincide. The cubic root of 1329152 is about 109.9490673297.

The spelling of 1329152 in words is "one million, three hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 128 176 236 256 352 472 512 649 704 944 1024 1298 1408 1888 2048 2596 2816 3776 5192 5632 7552 10384 11264 15104 20768 22528 30208 41536 60416 83072 120832 166144 332288 664576 1329152