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1068746880 = 2735556639
BaseRepresentation
bin111111101100111…
…100100010000000
32202111000222002210
4333230330202000
54142044400010
6254014542120
735325125055
oct7754744200
92674028083
101068746880
114a9309393
12259b07940
1314055a506
14a1d2502c
1563c60b20
hex3fb3c880

1068746880 has 64 divisors (see below), whose sum is σ = 3406636800. Its totient is φ = 284998656.

The previous prime is 1068746879. The next prime is 1068746909. The reversal of 1068746880 is 886478601.

1068746880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10687468802 = 2284439787019468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276400 + ... + 280239.

It is an arithmetic number, because the mean of its divisors is an integer number (53228700).

Almost surely, 21068746880 is an apocalyptic number.

1068746880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1068746880 is an abundant number, since it is smaller than the sum of its proper divisors (2337889920).

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

1068746880 is an equidigital number, since it uses as much as digits as its factorization.

1068746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556661 (or 556649 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 1068746880 is about 32691.6943580476. The cubic root of 1068746880 is about 1022.4096815069.

The spelling of 1068746880 in words is "one billion, sixty-eight million, seven hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 556639 1113278 1669917 2226556 2783195 3339834 4453112 5566390 6679668 8349585 8906224 11132780 13359336 16699170 17812448 22265560 26718672 33398340 35624896 44531120 53437344 66796680 71249792 89062240 106874688 133593360 178124480 213749376 267186720 356248960 534373440 1068746880