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1068928000 = 2105371193
BaseRepresentation
bin111111101101101…
…000110000000000
32202111101011112221
4333231220300000
54142121144000
6254022500424
735326511110
oct7755506000
92674334487
101068928000
114a9422478
12259b94714
131405c1a9a
14a1d71040
1563c9961a
hex3fb68c00

1068928000 has 176 divisors, whose sum is σ = 3050259264. Its totient is φ = 366182400.

The previous prime is 1068927961. The next prime is 1068928031. The reversal of 1068928000 is 8298601.

It is a super-2 number, since 2×10689280002 = 2285214138368000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895404 + ... + 896596.

Almost surely, 21068928000 is an apocalyptic number.

1068928000 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 1068928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525129632).

1068928000 is an abundant number, since it is smaller than the sum of its proper divisors (1981331264).

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

1068928000 is an equidigital number, since it uses as much as digits as its factorization.

1068928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1068928000 is about 32694.4643632527. The cubic root of 1068928000 is about 1022.4674339973.

The spelling of 1068928000 in words is "one billion, sixty-eight million, nine hundred twenty-eight thousand".