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1132053632 = 2773971249
BaseRepresentation
bin100001101111001…
…1100010010000000
32220220011021122022
41003132130102000
54304301204012
6304155501012
740024203623
oct10336342200
92826137568
101132053632
11531018716
12277157768
131506c4628
14aa4c3dba
15695b8472
hex4379c480

1132053632 has 64 divisors (see below), whose sum is σ = 2311575000. Its totient is φ = 552075264.

The previous prime is 1132053623. The next prime is 1132053653. The reversal of 1132053632 is 2363502311.

It can be written as a sum of positive squares in 4 ways, for example, as 935381056 + 196672576 = 30584^2 + 14024^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905744 + ... + 906992.

Almost surely, 21132053632 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 1132053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155787500).

1132053632 is an abundant number, since it is smaller than the sum of its proper divisors (1179521368).

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

1132053632 is an equidigital number, since it uses as much as digits as its factorization.

1132053632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 1132053632 is about 33646.0046959516. The cubic root of 1132053632 is about 1042.2110356612.

Adding to 1132053632 its reverse (2363502311), we get a palindrome (3495555943).

The spelling of 1132053632 in words is "one billion, one hundred thirty-two million, fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 73 97 128 146 194 292 388 584 776 1168 1249 1552 2336 2498 3104 4672 4996 6208 7081 9344 9992 12416 14162 19984 28324 39968 56648 79936 91177 113296 121153 159872 182354 226592 242306 364708 453184 484612 729416 906368 969224 1458832 1938448 2917664 3876896 5835328 7753792 8844169 11670656 15507584 17688338 35376676 70753352 141506704 283013408 566026816 1132053632