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1320005632 = 2121129297
BaseRepresentation
bin100111010101101…
…1011000000000000
310101222211020022111
41032223123000000
510200410140012
6334552145104
744465601631
oct11653330000
93358736274
101320005632
11618121850
1230a098194
13180620b2a
14c744b888
157ad42ba7
hex4eadb000

1320005632 has 52 divisors (see below), whose sum is σ = 2879759016. Its totient is φ = 599982080.

The previous prime is 1320005611. The next prime is 1320005633. The reversal of 1320005632 is 2365000231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1320005633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30408 + ... + 59704.

Almost surely, 21320005632 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 1320005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439879508).

1320005632 is an abundant number, since it is smaller than the sum of its proper divisors (1559753384).

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

1320005632 is an equidigital number, since it uses as much as digits as its factorization.

1320005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29332 (or 29310 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1320005632 is about 36331.8817569363. The cubic root of 1320005632 is about 1096.9628706071.

Adding to 1320005632 its reverse (2365000231), we get a palindrome (3685005863).

The spelling of 1320005632 in words is "one billion, three hundred twenty million, five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 11264 22528 29297 45056 58594 117188 234376 322267 468752 644534 937504 1289068 1875008 2578136 3750016 5156272 7500032 10312544 15000064 20625088 30000128 41250176 60000256 82500352 120000512 165000704 330001408 660002816 1320005632