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1061230200 = 233527324229
BaseRepresentation
bin111111010000010…
…001011001111000
32201221220002011020
4333100101121320
54133133331300
6253145502440
735204210412
oct7720213170
92657802136
101061230200
114a5044a58
122574a1a20
1313bb28084
14a0d299b2
15632788a0
hex3f411678

1061230200 has 96 divisors (see below), whose sum is σ = 3335017200. Its totient is φ = 279106560.

The previous prime is 1061230193. The next prime is 1061230201. The reversal of 1061230200 is 20321601.

1061230200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10612302002 = 2252419074784080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1061230200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061230201) 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, 31686 + ... + 55914.

Almost surely, 21061230200 is an apocalyptic number.

1061230200 is a gapful number since it is divisible by the number (10) 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 1061230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667508600).

1061230200 is an abundant number, since it is smaller than the sum of its proper divisors (2273787000).

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

1061230200 is a wasteful number, since it uses less digits than its factorization.

1061230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24321 (or 24312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1061230200 is about 32576.5283601553. The cubic root of 1061230200 is about 1020.0071125994.

Adding to 1061230200 its reverse (20321601), we get a palindrome (1081551801).

The spelling of 1061230200 in words is "one billion, sixty-one million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 146 150 200 219 292 300 365 438 584 600 730 876 1095 1460 1752 1825 2190 2920 3650 4380 5475 7300 8760 10950 14600 21900 24229 43800 48458 72687 96916 121145 145374 193832 242290 290748 363435 484580 581496 605725 726870 969160 1211450 1453740 1768717 1817175 2422900 2907480 3537434 3634350 4845800 5306151 7074868 7268700 8843585 10612302 14149736 14537400 17687170 21224604 26530755 35374340 42449208 44217925 53061510 70748680 88435850 106123020 132653775 176871700 212246040 265307550 353743400 530615100 1061230200