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1068766864 = 241127432
BaseRepresentation
bin111111101101000…
…001011010010000
32202111001222111221
4333231001122100
54142101014424
6254015214424
735325240244
oct7755013220
92674058457
101068766864
114a9322400
12259b17414
13140566639
14a1d2c424
1563c669e4
hex3fb41690

1068766864 has 45 divisors (see below), whose sum is σ = 2279165539. Its totient is φ = 485149280.

The previous prime is 1068766843. The next prime is 1068766871. The reversal of 1068766864 is 4686678601.

It is a happy number.

The square root of 1068766864 is 32692.

It is a perfect power (a square), and thus also a powerful number.

1068766864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10687668642 = 2284525219168788992, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1438077 + ... + 1438819.

Almost surely, 21068766864 is an apocalyptic number.

1068766864 is the 32692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068766864

1068766864 is an abundant number, since it is smaller than the sum of its proper divisors (1210398675).

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

1068766864 is an frugal number, since it uses more digits than its factorization.

1068766864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The cubic root of 1068766864 is about 1022.4160539879.

The spelling of 1068766864 in words is "one billion, sixty-eight million, seven hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 743 968 1486 1936 2972 5944 8173 11888 16346 32692 65384 89903 130768 179806 359612 552049 719224 1104098 1438448 2208196 4416392 6072539 8832784 12145078 24290156 48580312 66797929 97160624 133595858 267191716 534383432 1068766864