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1061431312 = 241719120431
BaseRepresentation
bin111111010001000…
…010100000010000
32201222021022000211
4333101002200100
54133211300222
6253154053504
735206005634
oct7721024020
92658238024
101061431312
114a5172067
1225757a294
1313bb98786
14a0d7cdc4
15632b8277
hex3f442810

1061431312 has 40 divisors (see below), whose sum is σ = 2189002752. Its totient is φ = 496857600.

The previous prime is 1061431309. The next prime is 1061431337. The reversal of 1061431312 is 2131341601.

It is a super-2 number, since 2×10614313122 = 2253272860188082688, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 41737 + ... + 62167.

Almost surely, 21061431312 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 1061431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094501376).

1061431312 is an abundant number, since it is smaller than the sum of its proper divisors (1127571440).

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

1061431312 is a wasteful number, since it uses less digits than its factorization.

1061431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20647 (or 20641 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1061431312 is about 32579.6149762394. The cubic root of 1061431312 is about 1020.0715418230.

Adding to 1061431312 its reverse (2131341601), we get a palindrome (3192772913).

The spelling of 1061431312 in words is "one billion, sixty-one million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 191 272 382 764 1528 3056 3247 6494 12988 20431 25976 40862 51952 81724 163448 326896 347327 694654 1389308 2778616 3902321 5557232 7804642 15609284 31218568 62437136 66339457 132678914 265357828 530715656 1061431312