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1142210432 = 27116591231
BaseRepresentation
bin100010000010100…
…1011111110000000
32221121021022011002
41010011023332000
54314401213212
6305201311132
740206425366
oct10405137600
92847238132
101142210432
11536825670
1227a6354a8
1315283c67c
14ab9a9636
156a422ac2
hex4414bf80

1142210432 has 64 divisors (see below), whose sum is σ = 2488147200. Its totient is φ = 517977600.

The previous prime is 1142210417. The next prime is 1142210437. The reversal of 1142210432 is 2340122411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142210437) 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, 927257 + ... + 928487.

It is an arithmetic number, because the mean of its divisors is an integer number (38877300).

Almost surely, 21142210432 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 1142210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244073600).

1142210432 is an abundant number, since it is smaller than the sum of its proper divisors (1345936768).

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

1142210432 is a wasteful number, since it uses less digits than its factorization.

1142210432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1142210432 is about 33796.6038530501. The cubic root of 1142210432 is about 1045.3186705449.

Adding to 1142210432 its reverse (2340122411), we get a palindrome (3482332843).

The spelling of 1142210432 in words is "one billion, one hundred forty-two million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 659 704 1231 1318 1408 2462 2636 4924 5272 7249 9848 10544 13541 14498 19696 21088 27082 28996 39392 42176 54164 57992 78784 84352 108328 115984 157568 216656 231968 433312 463936 811229 866624 927872 1622458 1733248 3244916 6489832 8923519 12979664 17847038 25959328 35694076 51918656 71388152 103837312 142776304 285552608 571105216 1142210432