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1068620224 = 26722931163
BaseRepresentation
bin111111101100011…
…101100111000000
32202110210112100211
4333230131213000
54142031321344
6254012123504
735324056600
oct7754354700
92673715324
101068620224
114a9232211
12259a66594
13140514979
14a1cd0c00
1563c38334
hex3fb1d9c0

1068620224 has 84 divisors (see below), whose sum is σ = 2477301624. Its totient is φ = 456024576.

The previous prime is 1068620207. The next prime is 1068620243. The reversal of 1068620224 is 4220268601.

It is a super-2 number, since 2×10686202242 = 2283898366283620352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 918267 + ... + 919429.

It is an arithmetic number, because the mean of its divisors is an integer number (29491686).

Almost surely, 21068620224 is an apocalyptic number.

1068620224 is a gapful number since it is divisible by the number (14) 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 1068620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238650812).

1068620224 is an abundant number, since it is smaller than the sum of its proper divisors (1408681400).

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

1068620224 is a wasteful number, since it uses less digits than its factorization.

1068620224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1068620224 is about 32689.7571725457. The cubic root of 1068620224 is about 1022.3692917012.

Adding to 1068620224 its reverse (4220268601), we get a palindrome (5288888825).

The spelling of 1068620224 in words is "one billion, sixty-eight million, six hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 293 392 448 586 784 1163 1172 1568 2051 2326 2344 3136 4102 4652 4688 8141 8204 9304 9376 14357 16282 16408 18608 18752 28714 32564 32816 37216 56987 57428 65128 65632 74432 113974 114856 130256 131264 227948 229712 260512 340759 455896 459424 521024 681518 911792 918848 1363036 1823584 2385313 2726072 3647168 4770626 5452144 9541252 10904288 16697191 19082504 21808576 33394382 38165008 66788764 76330016 133577528 152660032 267155056 534310112 1068620224