Search a number
-
+
1056566550 = 235213678087
BaseRepresentation
bin111110111110011…
…110110100010110
32201122010010211110
4332332132310112
54130440112200
6252501515450
735116444644
oct7676366426
92648103743
101056566550
114a244a0a6
12255a12b86
1313ab84410
14a0474194
1562b56b50
hex3ef9ed16

1056566550 has 96 divisors (see below), whose sum is σ = 2864316672. Its totient is φ = 256164480.

The previous prime is 1056566531. The next prime is 1056566551. The reversal of 1056566550 is 556656501.

It is a super-2 number, since 2×10565665502 = 2232665749157805000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1056566499 and 1056566508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056566551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126607 + ... + 134693.

It is an arithmetic number, because the mean of its divisors is an integer number (29836632).

Almost surely, 21056566550 is an apocalyptic number.

1056566550 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 1056566550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432158336).

1056566550 is an abundant number, since it is smaller than the sum of its proper divisors (1807750122).

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

1056566550 is a wasteful number, since it uses less digits than its factorization.

1056566550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The square root of 1056566550 is about 32504.8696351793. The cubic root of 1056566550 is about 1018.5107544132.

The spelling of 1056566550 in words is "one billion, fifty-six million, five hundred sixty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 67 75 78 130 134 150 195 201 325 335 390 402 650 670 871 975 1005 1675 1742 1950 2010 2613 3350 4355 5025 5226 8087 8710 10050 13065 16174 21775 24261 26130 40435 43550 48522 65325 80870 105131 121305 130650 202175 210262 242610 315393 404350 525655 541829 606525 630786 1051310 1083658 1213050 1576965 1625487 2628275 2709145 3153930 3250974 5256550 5418290 7043777 7884825 8127435 13545725 14087554 15769650 16254870 21131331 27091450 35218885 40637175 42262662 70437770 81274350 105656655 176094425 211313310 352188850 528283275 1056566550