Search a number
-
+
1068946200 = 233352728279
BaseRepresentation
bin111111101101101…
…101001100011000
32202111102002112000
4333231231030120
54142122234300
6254023121000
735326615140
oct7755551430
92674362460
101068946200
114a9435113
12259ba3160
131405ca15a
14a1d77920
1563c9ec00
hex3fb6d318

1068946200 has 192 divisors, whose sum is σ = 4208064000. Its totient is φ = 244321920.

The previous prime is 1068946171. The next prime is 1068946201. The reversal of 1068946200 is 26498601.

It is a super-2 number, since 2×10689462002 = 2285291956988880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068946201) 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, 23661 + ... + 51939.

It is an arithmetic number, because the mean of its divisors is an integer number (21917000).

Almost surely, 21068946200 is an apocalyptic number.

1068946200 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 1068946200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104032000).

1068946200 is an abundant number, since it is smaller than the sum of its proper divisors (3139117800).

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

1068946200 is a wasteful number, since it uses less digits than its factorization.

1068946200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28311 (or 28296 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1068946200 is about 32694.7426966477. The cubic root of 1068946200 is about 1022.4732369455.

The spelling of 1068946200 in words is "one billion, sixty-eight million, nine hundred forty-six thousand, two hundred".