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1068927680 = 26519117489
BaseRepresentation
bin111111101101101…
…000101011000000
32202111101011010002
4333231220223000
54142121141210
6254022455132
735326510142
oct7755505300
92674334102
101068927680
114a9422207
12259b944a8
131405c18b2
14a1d70c92
1563c994a5
hex3fb68ac0

1068927680 has 56 divisors (see below), whose sum is σ = 2558856960. Its totient is φ = 425308160.

The previous prime is 1068927679. The next prime is 1068927689. The reversal of 1068927680 is 867298601.

It is a super-2 number, since 2×10689276802 = 2285212770140364800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1068927689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52376 + ... + 69864.

Almost surely, 21068927680 is an apocalyptic number.

1068927680 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 1068927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279428480).

1068927680 is an abundant number, since it is smaller than the sum of its proper divisors (1489929280).

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

1068927680 is a wasteful number, since it uses less digits than its factorization.

1068927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17697 (or 17687 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 1068927680 is about 32694.4594694575. The cubic root of 1068927680 is about 1022.4673319668.

The spelling of 1068927680 in words is "one billion, sixty-eight million, nine hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 191 320 382 764 955 1528 1910 3056 3820 6112 7640 12224 15280 17489 30560 34978 61120 69956 87445 139912 174890 279824 349780 559648 699560 1119296 1399120 2798240 3340399 5596480 6680798 13361596 16701995 26723192 33403990 53446384 66807980 106892768 133615960 213785536 267231920 534463840 1068927680