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1074142132 = 227231317509
BaseRepresentation
bin100000000000110…
…0001101110110100
32202212012001222221
41000001201232310
54144440022012
6254330332124
735422025500
oct10001415664
92685161887
101074142132
11501363978
1225b88a044
131416c917b
14a292b300
1564479507
hex40061bb4

1074142132 has 36 divisors (see below), whose sum is σ = 2193757860. Its totient is φ = 458849664.

The previous prime is 1074142129. The next prime is 1074142169. The reversal of 1074142132 is 2312414701.

It can be written as a sum of positive squares in 2 ways, for example, as 6421156 + 1067720976 = 2534^2 + 32676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1074142097 and 1074142106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52594 + ... + 70102.

Almost surely, 21074142132 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 1074142132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096878930).

1074142132 is an abundant number, since it is smaller than the sum of its proper divisors (1119615728).

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

1074142132 is a wasteful number, since it uses less digits than its factorization.

1074142132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17840 (or 17831 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1074142132 is about 32774.1076461282. The cubic root of 1074142132 is about 1024.1272386752.

Adding to 1074142132 its reverse (2312414701), we get a palindrome (3386556833).

The spelling of 1074142132 in words is "one billion, seventy-four million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 313 626 1252 2191 4382 8764 15337 17509 30674 35018 61348 70036 122563 245126 490252 857941 1715882 3431764 5480317 10960634 21921268 38362219 76724438 153448876 268535533 537071066 1074142132