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1052043132 = 223722636803
BaseRepresentation
bin111110101101001…
…110011101111100
32201022121022212110
4332231032131330
54123310340012
6252220534020
735033135100
oct7655163574
92638538773
101052043132
1149a93a638
122543b1310
13139c5c53a
149da17900
156256173c
hex3eb4e77c

1052043132 has 72 divisors (see below), whose sum is σ = 2866824576. Its totient is φ = 299396832.

The previous prime is 1052043131. The next prime is 1052043191. The reversal of 1052043132 is 2313402501.

It is a super-2 number, since 2×10520431322 = 2213589503176738848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

1052043132 is a modest number, since divided by 43132 gives 10520 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1052043099 and 1052043108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052043131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151243 + ... + 158045.

It is an arithmetic number, because the mean of its divisors is an integer number (39817008).

Almost surely, 21052043132 is an apocalyptic number.

1052043132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052043132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433412288).

1052043132 is an abundant number, since it is smaller than the sum of its proper divisors (1814781444).

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

1052043132 is a wasteful number, since it uses less digits than its factorization.

1052043132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1052043132 is about 32435.2143819029. The cubic root of 1052043132 is about 1017.0551779083.

Adding to 1052043132 its reverse (2313402501), we get a palindrome (3365445633).

The spelling of 1052043132 in words is "one billion, fifty-two million, forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 263 294 526 588 789 1052 1578 1841 3156 3682 5523 6803 7364 11046 12887 13606 20409 22092 25774 27212 38661 40818 47621 51548 77322 81636 95242 142863 154644 190484 285726 333347 571452 666694 1000041 1333388 1789189 2000082 3578378 4000164 5367567 7156756 10735134 12524323 21470268 25048646 37572969 50097292 75145938 87670261 150291876 175340522 263010783 350681044 526021566 1052043132