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1068101772 = 2231715733349
BaseRepresentation
bin111111101010011…
…111000010001100
32202102211012011220
4333222133002030
54141413224042
6253553043340
735316500223
oct7752370214
92672735156
101068101772
114a8a08741
12259856550
131403929aa
14a1bd7cba
1563b848ec
hex3fa9f08c

1068101772 has 48 divisors (see below), whose sum is σ = 2655727200. Its totient is φ = 332946432.

The previous prime is 1068101767. The next prime is 1068101779. The reversal of 1068101772 is 2771018601.

It is a super-2 number, since 2×10681017722 = 2281682790699079968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068101779) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15354 + ... + 48702.

It is an arithmetic number, because the mean of its divisors is an integer number (55327650).

Almost surely, 21068101772 is an apocalyptic number.

1068101772 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 1068101772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327863600).

1068101772 is an abundant number, since it is smaller than the sum of its proper divisors (1587625428).

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

1068101772 is a wasteful number, since it uses less digits than its factorization.

1068101772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33530 (or 33528 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 33.

The square root of 1068101772 is about 32681.8263259568. The cubic root of 1068101772 is about 1022.2039273261.

The spelling of 1068101772 in words is "one billion, sixty-eight million, one hundred one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 157 204 314 471 628 942 1884 2669 5338 8007 10676 16014 32028 33349 66698 100047 133396 200094 400188 566933 1133866 1700799 2267732 3401598 5235793 6803196 10471586 15707379 20943172 31414758 62829516 89008481 178016962 267025443 356033924 534050886 1068101772