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1142331090 = 23531239623
BaseRepresentation
bin100010000010110…
…1001011011010010
32221121111102122220
41010011221123102
54314414043330
6305204041510
740210440225
oct10405513322
92847442586
101142331090
115368a828a
1227a693296
13152882574
14ab9db5bc
156a448710
hex441696d2

1142331090 has 48 divisors (see below), whose sum is σ = 2832957504. Its totient is φ = 294787680.

The previous prime is 1142331067. The next prime is 1142331097. The reversal of 1142331090 is 901332411.

It is a super-3 number, since 3×11423310903 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1142331090.

It is not an unprimeable number, because it can be changed into a prime (1142331097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9019 + ... + 48641.

It is an arithmetic number, because the mean of its divisors is an integer number (59019948).

Almost surely, 21142331090 is an apocalyptic number.

1142331090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142331090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416478752).

1142331090 is an abundant number, since it is smaller than the sum of its proper divisors (1690626414).

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

1142331090 is a wasteful number, since it uses less digits than its factorization.

1142331090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39695 (or 39664 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1142331090 is about 33798.3888669268. The cubic root of 1142331090 is about 1045.3554768449.

The spelling of 1142331090 in words is "one billion, one hundred forty-two million, three hundred thirty-one thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 961 1922 2883 4805 5766 9610 14415 28830 39623 79246 118869 198115 237738 396230 594345 1188690 1228313 2456626 3684939 6141565 7369878 12283130 18424695 36849390 38077703 76155406 114233109 190388515 228466218 380777030 571165545 1142331090